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ESAIM: Control Optimisation and Calculus of Variations
Journal Prestige (SJR): 1.05

Citation Impact (citeScore): 1
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This is an Open Access Journal

Open Access journal
ISSN (Print) 1292-8119 - ISSN (Online) 1262-3377
Published by EDP Sciences

[68 journals]

Asymptotic analysis of a family of non-local functionals on sets
- Authors: Michela Eleuteri, Luca Lussardi, Andrea Torricelli
  First page: 1
  Abstract:
  Authors : Michela Eleuteri, Luca Lussardi and Andrea Torricelli.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 1
  Published online: 11/01/2023
  Keywords: Finite perimeter sets ; non-local perimeters ; anisotropic perimeters.49Q15 ; 28A75.
  Keywords: Finite perimeter sets; non-local perimeters; anisotropic perimeters; 49Q15; 28A75
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-01-11
  DOI: 10.1051/cocv/2022080
  Issue No: Vol. 29 (2023)
Existence of variational solutions to nonlocal evolution equations via
convex minimization
- Authors: Harsh Prasad, Vivek Tewary
  First page: 2
  Abstract:
  Authors : Harsh Prasad and Vivek Tewary.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 2
  Published online: 11/01/2023
  Keywords: Nonlocal operators with nonstandard growth ; elliptic regularization ; Parabolic systems ; parabolic minimizers ; evolutionary variational solutions.35K51 ; 35A01 ; 35A15 ; 35R11.
  Keywords: Nonlocal operators with nonstandard growth; elliptic regularization; Parabolic systems; parabolic minimizers; evolutionary variational solutions; 35K51; 35A01; 35A15; 35R11
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-01-11
  DOI: 10.1051/cocv/2022087
  Issue No: Vol. 29 (2023)
A free boundary problem in thermal insulation with a prescribed heat
source
- Authors: Paolo Acampora, Emanuele Cristoforoni, Carlo Nitsch, Cristina Trombetti
  First page: 3
  Abstract:
  Authors : Paolo Acampora, Emanuele Cristoforoni, Carlo Nitsch and Cristina Trombetti.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 3
  Published online: 11/01/2023
  Keywords: Robin ; thermal insulation ; free boundary ; heat source.35R35 ; 35J25 ; 35A01.
  Keywords: Robin; thermal insulation; free boundary; heat source; 35R35; 35J25; 35A01
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-01-11
  DOI: 10.1051/cocv/2022081
  Issue No: Vol. 29 (2023)
Convergence rates for energies of interacting particles whose distribution
spreads out as their number increases
- Authors: Patrick van Meurs, Ken'ichiro Tanaka
  First page: 4
  Abstract:
  Authors : Patrick van Meurs and Ken'ichiro Tanaka.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 4
  Published online: 11/01/2023
  Keywords: Interacting particle systems ; calculus of variations ; asymptotic analysis.74G10 ; 49J45 ; 26A51.
  Keywords: Interacting particle systems; calculus of variations; asymptotic analysis; 74G10; 49J45; 26A51
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-01-11
  DOI: 10.1051/cocv/2022083
  Issue No: Vol. 29 (2023)
An abstract Lagrangian framework for computing shape derivatives
- Authors: Antoine Laurain, Pedro T.P. Lopes, Jean C. Nakasato
  First page: 5
  Abstract:
  Authors : Antoine Laurain, Pedro T.P. Lopes and Jean C. Nakasato.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 5
  Published online: 11/01/2023
  Keywords: Shape optimization ; Lagrangian methods ; distributed shape derivatives.49Q10 ; 49Q12 ; 35Q93 ; 35R37.
  Keywords: Shape optimization; Lagrangian methods; distributed shape derivatives; 49Q10; 49Q12; 35Q93; 35R37
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-01-11
  DOI: 10.1051/cocv/2022078
  Issue No: Vol. 29 (2023)
Risk-sensitive mean field games with major and minor players*
- Authors: Yan Chen, Tao Li, Zhixian Xin
  First page: 6
  Abstract:
  Authors : Yan Chen, Tao Li and Zhixian Xin.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 6
  Published online: 11/01/2023
  Keywords: Risk-sensitive cost functional ; major and minor players ; mean field game ; decentralized strategy ; decentralized asymptotic Nash equilibrium.91A10 ; 91A25 ; 93C05 ; 93E03.
  Keywords: Risk-sensitive cost functional; major and minor players; mean field game; decentralized strategy; decentralized asymptotic Nash equilibrium; 91A10; 91A25; 93C05; 93E03
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-01-11
  DOI: 10.1051/cocv/2022082
  Issue No: Vol. 29 (2023)
Global control aspects for long waves in nonlinear dispersive media
- Authors: Roberto de A. Capistrano-Filho, Andressa Gomes
  First page: 7
  Abstract:
  Authors : Roberto de A. Capistrano-Filho and Andressa Gomes.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 7
  Published online: 11/01/2023
  Keywords: Long waves systems ; global well-posedness ; Bourgain spaces ; global control properties.35Q53 ; 35L56 ; 93B05 ; 93D15.
  Keywords: Long waves systems; global well-posedness; Bourgain spaces; global control properties; 35Q53; 35L56; 93B05; 93D15
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-01-11
  DOI: 10.1051/cocv/2022085
  Issue No: Vol. 29 (2023)
G-convergence of elliptic and parabolic operators depending on vector
fields*
- Authors: A. Maione, F. Paronetto, E. Vecchi
  First page: 8
  Abstract:
  Authors : A. Maione, F. Paronetto and E. Vecchi.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 8
  Published online: 19/01/2023
  Keywords: G-convergence for elliptic and parabolic operators ; Nonlinear elliptic equations ; Nonlinear parabolic equations ; operators depending on vector fields.35B40 ; 35J60 ; 35K61 ; 35R03 ; 47H05 ; 53C17.
  Keywords: G-convergence for elliptic and parabolic operators; Nonlinear elliptic equations; Nonlinear parabolic equations; operators depending on vector fields; 35B40; 35J60; 35K61; 35R03; 47H05; 53C17
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-01-19
  DOI: 10.1051/cocv/2022084
  Issue No: Vol. 29 (2023)
A general comparison principle for Hamilton Jacobi Bellman equations on
stratified domains
- Authors: Othmane Jerhaoui, Hasnaa Zidani
  First page: 9
  Abstract:
  Authors : Othmane Jerhaoui and Hasnaa Zidani.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 9
  Published online: 19/01/2023
  Keywords: Nonsmooth analysis ; invariance principles ; viscosity theory ; Hamilton Jacobi equations.49J53 ; 35F21 ; 49L25.
  Keywords: Nonsmooth analysis; invariance principles; viscosity theory; Hamilton Jacobi equations; 49J53; 35F21; 49L25
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-01-19
  DOI: 10.1051/cocv/2022089
  Issue No: Vol. 29 (2023)
Phase-field methods for spectral shape and topology optimization
- Authors: Harald Garcke, Paul Hüttl, Christian Kahle, Patrik Knopf, Tim Laux
  First page: 10
  Abstract:
  Authors : Harald Garcke, Paul Hüttl, Christian Kahle, Patrik Knopf and Tim Laux.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 10
  Published online: 19/01/2023
  Keywords: Eigenvalue optimization ; shape optimization ; topology optimization ; PDE constrained optimization ; phase-field approach ; first order condition ; sharp interface limit ; Γ-limit ; finite element approximation.35P05 ; 35P15 ; 35R35 ; 49M05 ; 49M41 ; 49K20 ; 49J20 ; 49J40 ; 49Q10 ; 49R05.
  Keywords: Eigenvalue optimization; shape optimization; topology optimization; PDE constrained optimization; phase-field approach; first order condition; sharp interface limit; Γ-limit; finite element approximation; 35P05; 35P15; 35R35; 49M05; 49M41; 49K20; 49J20; 49J40; 4
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-01-19
  DOI: 10.1051/cocv/2022090
  Issue No: Vol. 29 (2023)
Homogeneous geodesics in sub-Riemannian geometry*
- Authors: Alexey Podobryaev
  First page: 11
  Abstract:
  Authors : Alexey Podobryaev.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 11
  Published online: 19/01/2023
  Keywords: Homogeneous space ; isometry ; geodesic ; geodesic orbit manifold ; integration ; weakly symmetric spaces ; Riemannian geometry ; sub-Riemannian geometry ; Carnot group ; geometric control theory.53C30 ; 53C17 ; 35R03.
  Keywords: Homogeneous space; isometry; geodesic; geodesic orbit manifold; integration; weakly symmetric spaces; Riemannian geometry; sub-Riemannian geometry; Carnot group; geometric control theory; 53C30; 53C17; 35R03
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-01-19
  DOI: 10.1051/cocv/2022086
  Issue No: Vol. 29 (2023)
Uniform boundedness for the optimal controls of a discontinuous,
non-convex Bolza problem*, **
- Authors: Piernicola Bettiol, Carlo Mariconda
  First page: 12
  Abstract:
  Authors : Piernicola Bettiol and Carlo Mariconda.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 12
  Published online: 19/01/2023
  Keywords: Regularity ; Lipschitz ; uniform ; growth.49N60 ; 49K05 ; 90C25.
  Keywords: Regularity; Lipschitz; uniform; growth; 49N60; 49K05; 90C25
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-01-19
  DOI: 10.1051/cocv/2022079
  Issue No: Vol. 29 (2023)
Lower semicontinuity in GSBD for nonautonomous surface integrals
- Authors: Virginia De Cicco, Giovanni Scilla
  First page: 13
  Abstract:
  Authors : Virginia De Cicco and Giovanni Scilla.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 13
  Published online: 25/01/2023
  Keywords: Lower semicontinuity ; capacity ; chain rule ; GSBD functions ; fracture mechanics.49J45 ; 49Q20 ; 70G75 ; 74R10.
  Keywords: Lower semicontinuity; capacity; chain rule; GSBD functions; fracture mechanics; 49J45; 49Q20; 70G75; 74R10
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-01-25
  DOI: 10.1051/cocv/2023001
  Issue No: Vol. 29 (2023)
Classical solutions to local first-order extended mean field games*
- Authors: Sebastian Munoz
  First page: 14
  Abstract:
  Authors : Sebastian Munoz.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 14
  Published online: 15/02/2023
  Keywords: Quasilinear elliptic equations ; oblique derivative problems ; Bernstein method ; non-linear method of continuity ; Hamilton-Jacobi equations.35Q89 ; 35B65 ; 35J66 ; 35J70.
  Keywords: Quasilinear elliptic equations; oblique derivative problems; Bernstein method; non-linear method of continuity; Hamilton-Jacobi equations; 35Q89; 35B65; 35J66; 35J70
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-02-15
  DOI: 10.1051/cocv/2023004
  Issue No: Vol. 29 (2023)
Controllability and observability for some forward stochastic complex
degenerate/singular Ginzburg–Landau equations*
- Authors: Yongyi Yu, Qingmei Zhao
  First page: 15
  Abstract:
  Authors : Yongyi Yu and Qingmei Zhao.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 15
  Published online: 27/02/2023
  Keywords: Stochastic degenerate/singular Ginzburg-Landau equation ; controllability ; observability ; Carleman estimate.93B05 ; 93B07.
  Keywords: Stochastic degenerate/singular Ginzburg-Landau equation; controllability; observability; Carleman estimate; 93B05; 93B07
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-02-27
  DOI: 10.1051/cocv/2023002
  Issue No: Vol. 29 (2023)
Do shape memory alloy cables restrain the vibrations of girder bridges' A
mathematical point of view
- Authors: V. Régnier
  First page: 16
  Abstract:
  Authors : V. Régnier.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 16
  Published online: 27/02/2023
  Keywords: Euler-Bernoulli beam ; pointwise stabilization ; resolvent operator ; eigenvalues and their localization ; eigenfunctions ; Riesz basis ; exponential stability ; rate of decay.74K10 ; 35B40 ; 35Q74 ; 34L10 ; 34L15 ; 34L20 ; 35B35 ; 35E15 ; 93D23.
  Keywords: Euler-Bernoulli beam; pointwise stabilization; resolvent operator; eigenvalues and their localization; eigenfunctions; Riesz basis; exponential stability; rate of decay; 74K10; 35B40; 35Q74; 34L10; 34L15; 34L20; 35B35; 35E15; 93D23
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-02-27
  DOI: 10.1051/cocv/2022064
  Issue No: Vol. 29 (2023)
GOH Conditions for Minima of Nonsmooth Problems with Unbounded Controls
- Authors: Francesca Angrisani, Franco Rampazzo
  First page: 17
  Abstract:
  Authors : Francesca Angrisani and Franco Rampazzo.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 17
  Published online: 27/02/2023
  Keywords: Goh conditions ; nonsmooth optimal control ; set-valued Lie brackets ; unbounded controls.49K15 ; 49N25 ; 49K99.
  Keywords: Goh conditions; nonsmooth optimal control; set-valued Lie brackets; unbounded controls; 49K15; 49N25; 49K99
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-02-27
  DOI: 10.1051/cocv/2023003
  Issue No: Vol. 29 (2023)
SPDEs with space interactions and application to population modelling
- Authors: K. Makhlouf, N. Agram, A. Hilbert, B. Øksendal
  First page: 18
  Abstract:
  Authors : K. Makhlouf, N. Agram, A. Hilbert and B. Øksendal.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 18
  Published online: 03/03/2023
  Keywords: Stochastic partial differential equations (SPDEs) ; strong ; smooth solutions ; space interactions ; spacemean dependence ; population modelling ; maximum principle ; backward stochastic partial differential equations (BSPDEs) ; space-mean stochastic reaction diffusion equation ; optimal vaccination strategy.60H05 ; 60H20 ; 60J75 ; 93E20 ; 91G80 ; 91B70.
  Keywords: Stochastic partial differential equations (SPDEs); strong; smooth solutions; space interactions; spacemean dependence; population modelling; maximum principle; backward stochastic partial differential equations (BSPDEs); space-mean stochastic reaction diffus
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-03-03
  DOI: 10.1051/cocv/2023010
  Issue No: Vol. 29 (2023)
Hellinger–Kantorovich barycenter between Dirac measures
- Authors: Mauro Bonafini, Olga Minevich, Bernhard Schmitzer
  First page: 19
  Abstract:
  Authors : Mauro Bonafini, Olga Minevich and Bernhard Schmitzer.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 19
  Published online: 07/03/2023
  Keywords: optimal transport ; unbalanced optimal transport ; barycenter ; data analysis.49K35 ; 49M29 ; 49Q22.
  Keywords: optimal transport; unbalanced optimal transport; barycenter; data analysis; 49K35; 49M29; 49Q22
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-03-07
  DOI: 10.1051/cocv/2022088
  Issue No: Vol. 29 (2023)
Variational actor-critic algorithms*,**
- Authors: Yuhua Zhu, Lexing Ying
  First page: 20
  Abstract:
  Authors : Yuhua Zhu and Lexing Ying.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 20
  Published online: 07/03/2023
  Keywords: Markov decision process ; reinforcement learning ; policy gradient ; optimal control.90C40 ; 93E20.
  Keywords: Markov decision process; reinforcement learning; policy gradient; optimal control; 90C40; 93E20
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-03-07
  DOI: 10.1051/cocv/2023007
  Issue No: Vol. 29 (2023)
Variational problems concerning sub-Finsler metrics in Carnot groups
- Authors: Fares Essebei, Enrico Pasqualetto
  First page: 21
  Abstract:
  Authors : Fares Essebei and Enrico Pasqualetto.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 21
  Published online: 24/03/2023
  Keywords: Carnot group ; Gamma-convergence ; sub-Finsler metric ; induced intrinsic distance.53C17 ; 49J45 ; 51K05.
  Keywords: Carnot group; Gamma-convergence; sub-Finsler metric; induced intrinsic distance; 53C17; 49J45; 51K05
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-03-24
  DOI: 10.1051/cocv/2023006
  Issue No: Vol. 29 (2023)
Optimal control of ensembles of dynamical systems*
- Authors: Alessandro Scagliotti
  First page: 22
  Abstract:
  Authors : Alessandro Scagliotti.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 22
  Published online: 24/03/2023
  Keywords: Optimal control ; simultaneous control ; Γ-convergence ; gradient-based minimization ; Pontryagin Maximum Principle.49J15 ; 49K15 ; 49M05.
  Keywords: Optimal control; simultaneous control; Γ-convergence; gradient-based minimization; Pontryagin Maximum Principle; 49J15; 49K15; 49M05
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-03-24
  DOI: 10.1051/cocv/2023011
  Issue No: Vol. 29 (2023)
Optimal control of a parabolic equation with memory
- Authors: Eduardo Casas, Jiongmin Yong
  First page: 23
  Abstract:
  Authors : Eduardo Casas and Jiongmin Yong.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 23
  Published online: 30/03/2023
  Keywords: Parabolic partial differential equation with memory ; optimal control ; optimality conditions.49J20 ; 49K20 ; 35K58 ; 45K05.
  Keywords: Parabolic partial differential equation with memory; optimal control; optimality conditions; 49J20; 49K20; 35K58; 45K05
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-03-30
  DOI: 10.1051/cocv/2023013
  Issue No: Vol. 29 (2023)
Phase field topology optimisation for 4D printing*
- Authors: Harald Garcke, Kei Fong Lam, Robert Nürnberg, Andrea Signori
  First page: 24
  Abstract:
  Authors : Harald Garcke, Kei Fong Lam, Robert Nürnberg and Andrea Signori.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 24
  Published online: 30/03/2023
  Keywords: 4D printing ; printed active composites ; topology optimisation ; phase field ; linear elasticity ; optimal control.49J20 ; 49K40 ; 49J50.
  Keywords: 4D printing; printed active composites; topology optimisation; phase field; linear elasticity; optimal control; 49J20; 49K40; 49J50
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-03-30
  DOI: 10.1051/cocv/2023012
  Issue No: Vol. 29 (2023)
Probabilistic representation of viscosity solutions to quasi-variational
inequalities with non-local drivers*
- Authors: Magnus Perninge
  First page: 25
  Abstract:
  Authors : Magnus Perninge.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 25
  Published online: 30/03/2023
  Keywords: Backward stochastic differential equations ; impulse control ; partial differential equations ; viscosity solutions ; quasi-variational inequalities.60G40 ; 93E20 ; 49L20.
  Keywords: Backward stochastic differential equations; impulse control; partial differential equations; viscosity solutions; quasi-variational inequalities; 60G40; 93E20; 49L20
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-03-30
  DOI: 10.1051/cocv/2023015
  Issue No: Vol. 29 (2023)
Small-time global null controllability of generalized Burgers’
equations
- Authors: Rémi Robin
  First page: 26
  Abstract:
  Authors : Rémi Robin.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 26
  Published online: 26/04/2023
  Keywords: Controllability ; Burgers equation ; boundary layer.93B05.
  Keywords: Controllability; Burgers equation; boundary layer; 93B05
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-04-26
  DOI: 10.1051/cocv/2023021
  Issue No: Vol. 29 (2023)
Local null controllability of a quasi-linear system and related numerical
experiments
- Authors: Enrique Fernández-Cara, Juan Límaco, Yuri Thamsten, Denilson Menezes
  First page: 27
  Abstract:
  Authors : Enrique Fernández-Cara, Juan Límaco, Yuri Thamsten and Denilson Menezes.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 27
  Published online: 26/04/2023
  Keywords: Quasi-linear parabolic equations ; nonlinear diffusion ; null controllability ; quasi-Newton algorithms.35K55 ; 35K59 ; 90C53 ; 93C20.
  Keywords: Quasi-linear parabolic equations; nonlinear diffusion; null controllability; quasi-Newton algorithms; 35K55; 35K59; 90C53; 93C20
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-04-26
  DOI: 10.1051/cocv/2023009
  Issue No: Vol. 29 (2023)
The ε-ε property and the boundedness of isoperimetric sets with
different monomial weights
- Authors: Emerson Abreu, Leandro G. Fernandes, Joel Ramirez
  First page: 28
  Abstract:
  Authors : Emerson Abreu, Leandro G. Fernandes and Joel Ramirez.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 28
  Published online: 26/04/2023
  Keywords: ε — ε Property ; isoperimetric problem ; boundedness ; regularity ; monomial weights.51M16 ; 49Q10 ; 49Q20.
  Keywords: ε — ε Property; isoperimetric problem; boundedness; regularity; monomial weights; 51M16; 49Q10; 49Q20
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-04-26
  DOI: 10.1051/cocv/2023023
  Issue No: Vol. 29 (2023)
Vanishing viscosity in mean-field optimal control
- Authors: Gennaro Ciampa, Francesco Rossi
  First page: 29
  Abstract:
  Authors : Gennaro Ciampa and Francesco Rossi.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 29
  Published online: 27/04/2023
  Keywords: Mean-field equations ; optimal control of partial differential equations ; vanishing viscosity.49J45 ; 93E20 ; 49J20.
  Keywords: Mean-field equations; optimal control of partial differential equations; vanishing viscosity; 49J45; 93E20; 49J20
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-04-27
  DOI: 10.1051/cocv/2023024
  Issue No: Vol. 29 (2023)
An inverse problem for a double phase implicit obstacle problem with
multivalued terms
- Authors: Shengda Zeng, Yunru Bai, Vicenţiu D. Rădulescu, Patrick Winkert
  First page: 30
  Abstract:
  Authors : Shengda Zeng, Yunru Bai, Vicenţiu D. Rădulescu and Patrick Winkert.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 30
  Published online: 27/04/2023
  Keywords: Clarke subdifferential ; discontinuous parameter ; double phase operator ; implicit obstacle problem ; inverse problem ; optimal control ; Steklov eigenvalue problem.35J20 ; 35J25 ; 35J60 ; 35R30 ; 49N45 ; 65J20.
  Keywords: Clarke subdifferential; discontinuous parameter; double phase operator; implicit obstacle problem; inverse problem; optimal control; Steklov eigenvalue problem; 35J20; 35J25; 35J60; 35R30; 49N45; 65J20
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-04-27
  DOI: 10.1051/cocv/2023022
  Issue No: Vol. 29 (2023)
Controllability results for cascade systems of m coupled N-dimensional
stokes and Navier-stokes systems by N – 1 scalar controls***
- Authors: Takéo Takahashi, Luz de Teresa, Yingying Wu-Zhang
  First page: 31
  Abstract:
  Authors : Takéo Takahashi, Luz de Teresa and Yingying Wu-Zhang.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 31
  Published online: 28/04/2023
  Keywords: Null controllability ; Navier-Stokes systems ; Carleman estimates.76D05 ; 35Q30 ; 93B05 ; 93B07 ; 93C10.
  Keywords: Null controllability; Navier-Stokes systems; Carleman estimates; 76D05; 35Q30; 93B05; 93B07; 93C10
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-04-28
  DOI: 10.1051/cocv/2023014
  Issue No: Vol. 29 (2023)
Optimal borel measure-valued controls to the viscous
Cahn–Hilliard–Oberbeck–Boussinesq phase-field system on
two-dimensional bounded domains
- Authors: Gilbert Peralta
  First page: 32
  Abstract:
  Authors : Gilbert Peralta.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 32
  Published online: 01/05/2023
  Keywords: Cahn-Hilliard equation ; Oberbeck-Boussinesq system ; binary fluids ; interpolation spaces ; Borel measures ; sparsity ; optimality conditions ; Lagrangian.35B65 ; 35Q93 ; 49K20 ; 76D55.
  Keywords: Cahn-Hilliard equation; Oberbeck-Boussinesq system; binary fluids; interpolation spaces; Borel measures; sparsity; optimality conditions; Lagrangian; 35B65; 35Q93; 49K20; 76D55
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-05-01
  DOI: 10.1051/cocv/2023025
  Issue No: Vol. 29 (2023)
Regularization for Wasserstein distributionally robust optimization
- Authors: Waïss Azizian, Franck Iutzeler, Jérôme Malick
  First page: 33
  Abstract:
  Authors : Waïss Azizian, Franck Iutzeler and Jérôme Malick.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 33
  Published online: 11/05/2023
  Keywords: Distributionally robust optimization ; optimal transport ; duality ; entropic regularization.90C17 ; 90C25 ; 49N15 ; 49Q22.
  Keywords: Distributionally robust optimization; optimal transport; duality; entropic regularization; 90C17; 90C25; 49N15; 49Q22
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-05-11
  DOI: 10.1051/cocv/2023019
  Issue No: Vol. 29 (2023)
The maximum principle for discounted optimal control of partially observed
forward-backward stochastic systems with jumps on infinite horizon*
- Authors: Yueyang Zheng, Jingtao Shi
  First page: 34
  Abstract:
  Authors : Yueyang Zheng and Jingtao Shi.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 34
  Published online: 11/05/2023
  Keywords: Partially observed maximum principle ; infinite horizon forward-backward stochastic differential equation with jumps ; discounted optimal control.93E20 ; 49K45 ; 49N10 ; 49N70 ; 60H10.
  Keywords: Partially observed maximum principle; infinite horizon forward-backward stochastic differential equation with jumps; discounted optimal control; 93E20; 49K45; 49N10; 49N70; 60H10
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-05-11
  DOI: 10.1051/cocv/2023032
  Issue No: Vol. 29 (2023)
Indefinite Backward Stochastic Linear-Quadratic Optimal Control Problems
- Authors: Jingrui Sun, Zhen Wu, Jie Xiong
  First page: 35
  Abstract:
  Authors : Jingrui Sun, Zhen Wu and Jie Xiong.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 35
  Published online: 24/05/2023
  Keywords: Indefinite ; backward stochastic differential equation ; linear-quadratic ; optimal control ; Riccati equation.93E20 ; 49N10 ; 49N35 ; 49K27.
  Keywords: Indefinite; backward stochastic differential equation; linear-quadratic; optimal control; Riccati equation; 93E20; 49N10; 49N35; 49K27
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-05-24
  DOI: 10.1051/cocv/2023033
  Issue No: Vol. 29 (2023)
On the Reconstruction of Cavities in a Nonlinear Model Arising from
Cardiac Electrophysiology
- Authors: E. Beretta, M. C. Cerutti, D. Pierotti, L. Ratti
  First page: 36
  Abstract:
  Authors : E. Beretta, M. C. Cerutti, D. Pierotti and L. Ratti.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 36
  Published online: 24/05/2023
  Keywords: Cardiac electrophysiology ; nonlinear elliptic equation ; inverse problem ; reconstruction ; Γ-convergence.35J25 ; 35J61 ; 35N25 ; 35J20 ; 92C50.
  Keywords: Cardiac electrophysiology; nonlinear elliptic equation; inverse problem; reconstruction; Γ-convergence; 35J25; 35J61; 35N25; 35J20; 92C50
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-05-24
  DOI: 10.1051/cocv/2023026
  Issue No: Vol. 29 (2023)
Existence, uniqueness, and stabilization results for parabolic variational
inequalities
- Authors: Axel Kröner, Carlos N. Rautenberg, Sérgio S. Rodrigues
  First page: 37
  Abstract:
  Authors : Axel Kröner, Carlos N. Rautenberg and Sérgio S. Rodrigues.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 37
  Published online: 09/06/2023
  Keywords: Exponential stabilization ; parabolic variational inequalities ; oblique projection feedback ; Moreau–Yosida approximation.35K85 ; 93D15.
  Keywords: Exponential stabilization; parabolic variational inequalities; oblique projection feedback; Moreau–Yosida approximation; 35K85; 93D15
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-06-09
  DOI: 10.1051/cocv/2023017
  Issue No: Vol. 29 (2023)
Stability of inverse source problem for a transmission wave equation with
multiple interfaces of discontinuity*
- Authors: Zifan Jiang, Wensheng Zhang
  First page: 38
  Abstract:
  Authors : Zifan Jiang and Wensheng Zhang.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 38
  Published online: 09/06/2023
  Keywords: Carleman estimate ; inverse source problem ; transmission wave equation ; discontinuous coefficient ; multiple interfaces.35R30 ; 35L05 ; 35L20.
  Keywords: Carleman estimate; inverse source problem; transmission wave equation; discontinuous coefficient; multiple interfaces; 35R30; 35L05; 35L20
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-06-09
  DOI: 10.1051/cocv/2023031
  Issue No: Vol. 29 (2023)
Large population games with interactions through controls and common
noise: convergence results and equivalence between open-loop and
closed-loop controls
- Authors: Mao Fabrice Djete
  First page: 39
  Abstract:
  Authors : Mao Fabrice Djete.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 39
  Published online: 09/06/2023
  Keywords: Ecole Polytechnique Paris ; Centre de Mathématiques Appliquées ; Fran.60G ; 60H.
  Keywords: Ecole Polytechnique Paris; Centre de Mathématiques Appliquées; Fran; 60G; 60H
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-06-09
  DOI: 10.1051/cocv/2023005
  Issue No: Vol. 29 (2023)
Optimal control problems of nonlocal interaction equations
- Authors: Simone Fagioli, Alic Kaufmann, Emanuela Radici
  First page: 40
  Abstract:
  Authors : Simone Fagioli, Alic Kaufmann and Emanuela Radici.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 40
  Published online: 09/06/2023
  Keywords: Nonlocal transport equations ; optimal control problems ; Wasserstein distance ; JKO scheme.49J20 ; 45K05 ; 492D25 ; 92D25.
  Keywords: Nonlocal transport equations; optimal control problems; Wasserstein distance; JKO scheme; 49J20; 45K05; 492D25; 92D25
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-06-09
  DOI: 10.1051/cocv/2023029
  Issue No: Vol. 29 (2023)
Spacetime finite element methods for control problems subject to the wave
equation
- Authors: Erik Burman, Ali Feizmohammadi, Arnaud Münch, Lauri Oksanen
  First page: 41
  Abstract:
  Authors : Erik Burman, Ali Feizmohammadi, Arnaud Münch and Lauri Oksanen.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 41
  Published online: 09/06/2023
  Keywords: Wave equation ; control ; finite element method ; space time ; stabilisation.35L05 ; 93-08 ; 65M12 ; 65M60.
  Keywords: Wave equation; control; finite element method; space time; stabilisation; 35L05; 93-08; 65M12; 65M60
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-06-09
  DOI: 10.1051/cocv/2023028
  Issue No: Vol. 29 (2023)
Optimal control for the Paneitz obstacle problem
- Authors: Cheikh Birahim Ndiaye
  First page: 42
  Abstract:
  Authors : Cheikh Birahim Ndiaye.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 42
  Published online: 09/06/2023
  Keywords: Paneitz operator ; Q-curvature ; obstacle problem ; optimal control.53C21 ; 35C60 ; 58J60 ; 55N10.
  Keywords: Paneitz operator; Q-curvature; obstacle problem; optimal control; 53C21; 35C60; 58J60; 55N10
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-06-09
  DOI: 10.1051/cocv/2023036
  Issue No: Vol. 29 (2023)
Rates of convergence in periodic homogenization of nonlocal
Hamilton–Jacobi–Bellman equations*, **
- Authors: Andrei Rodríguez-Paredes, Erwin Topp
  First page: 43
  Abstract:
  Authors : Andrei Rodríguez-Paredes and Erwin Topp.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 43
  Published online: 09/06/2023
  Keywords: Periodic homogenization ; Hamilton–Jacobi equations ; rates of convergence ; nonlocal equations ; representation formulas ; viscosity solutions.35B27 ; 35B40 ; 35D40 ; 35R09 ; 45K05.
  Keywords: Periodic homogenization; Hamilton–Jacobi equations; rates of convergence; nonlocal equations; representation formulas; viscosity solutions; 35B27; 35B40; 35D40; 35R09; 45K05
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-06-09
  DOI: 10.1051/cocv/2023038
  Issue No: Vol. 29 (2023)
Γ-convergence and stochastic homogenisation of phase-transition
functionals
- Authors: Roberta Marziani
  First page: 44
  Abstract:
  Authors : Roberta Marziani.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 44
  Published online: 09/06/2023
  Keywords: Singular perturbation ; phase-field approximation ; free discontinuity problems ; Γ-convergence ; deterministic and stochastic homogenisation.49J45 ; 49Q20 ; 74Q05.
  Keywords: Singular perturbation; phase-field approximation; free discontinuity problems; Γ-convergence; deterministic and stochastic homogenisation; 49J45; 49Q20; 74Q05
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-06-09
  DOI: 10.1051/cocv/2023030
  Issue No: Vol. 29 (2023)
Robustness of polynomial stability with respect to sampling*
- Authors: Masashi Wakaiki
  First page: 45
  Abstract:
  Authors : Masashi Wakaiki.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 45
  Published online: 12/06/2023
  Keywords: Co-semigroup ; infinite-dimensional systems ; polynomial stability ; sampled-data systems.47A55 ; 47D06 ; 93C25 ; 93C57 ; 93D15.
  Keywords: Co-semigroup; infinite-dimensional systems; polynomial stability; sampled-data systems; 47A55; 47D06; 93C25; 93C57; 93D15
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-06-12
  DOI: 10.1051/cocv/2023035
  Issue No: Vol. 29 (2023)
Erratum to: Hellinger-Kantorovich barycenter between Dirac measures
- Authors: Mauro Bonafini, Olga Minevich, Bernhard Schmitzer
  First page: 46
  Abstract:
  Authors : Mauro Bonafini, Olga Minevich and Bernhard Schmitzer.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 46
  Published online: 12/06/2023
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-06-12
  DOI: 10.1051/cocv/2023018
  Issue No: Vol. 29 (2023)
C1,1-Rectifiability and Heintze–Karcher Inequality on Sn+1
- Authors: Xuwen Zhang
  First page: 47
  Abstract:
  Authors : Xuwen Zhang.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 47
  Published online: 19/06/2023
  Keywords: Level-sets of distance function ; C1,1-rectifiability ; Heintze-Karcher-type inequality.35B65 ; 49Q15 ; 49Q20 ; 53C21.
  Keywords: Level-sets of distance function; C1,1-rectifiability; Heintze-Karcher-type inequality; 35B65; 49Q15; 49Q20; 53C21
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-06-19
  DOI: 10.1051/cocv/2023044
  Issue No: Vol. 29 (2023)
Null controllability of strongly degenerate parabolic equations
- Authors: Antoine Benoit, Romain Loyer, Lionel Rosier
  First page: 48
  Abstract:
  Authors : Antoine Benoit, Romain Loyer and Lionel Rosier.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 48
  Published online: 21/06/2023
  Keywords: Strongly degenerate parabolic equations ; null controllability ; measurable and singular coefficient ; spectral estimates ; flatness.35J25 ; 35J70 ; 35K65 ; 35P15 ; 93B05.
  Keywords: Strongly degenerate parabolic equations; null controllability; measurable and singular coefficient; spectral estimates; flatness; 35J25; 35J70; 35K65; 35P15; 93B05
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-06-21
  DOI: 10.1051/cocv/2023016
  Issue No: Vol. 29 (2023)
Unique Continuation and Time Decay for a Higher-Order Water Wave Model
- Authors: Ademir F. Pazoto, Miguel D. Soto Vieira
  First page: 49
  Abstract:
  Authors : Ademir F. Pazoto and Miguel D. Soto Vieira.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 49
  Published online: 28/06/2023
  Keywords: KdV equations ; asymptotic behavior.35Q53 ; 35B40.
  Keywords: KdV equations; asymptotic behavior; 35Q53; 35B40
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-06-28
  DOI: 10.1051/cocv/2023040
  Issue No: Vol. 29 (2023)
Strong unique continuation from the boundary for the spectral fractional
laplacian
- Authors: Alessandra De Luca, Veronica Felli, Giovanni Siclari
  First page: 50
  Abstract:
  Authors : Alessandra De Luca, Veronica Felli and Giovanni Siclari.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 50
  Published online: 28/06/2023
  Keywords: Spectral fractional Laplacian ; boundary behaviour of solutions ; unique continuation ; monotonicity formula.35R11 ; 35B40 ; 31B25.
  Keywords: Spectral fractional Laplacian; boundary behaviour of solutions; unique continuation; monotonicity formula; 35R11; 35B40; 31B25
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-06-28
  DOI: 10.1051/cocv/2023045
  Issue No: Vol. 29 (2023)
Sufficient conditions for the controllability of wave equations with a
transmission condition at the interface
- Authors: Ludovick Gagnon
  First page: 51
  Abstract:
  Authors : Ludovick Gagnon.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 51
  Published online: 03/07/2023
  Keywords: Wave equation ; controllability ; observability ; microlocal analysis.35L05 ; 93B05 ; 93B07Q3.
  Keywords: Wave equation; controllability; observability; microlocal analysis; 35L05; 93B05; 93B07Q3
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-07-03
  DOI: 10.1051/cocv/2023034
  Issue No: Vol. 29 (2023)
Singular perturbations in stochastic optimal control with unbounded data
- Authors: Martino Bardi, Hicham Kouhkouh
  First page: 52
  Abstract:
  Authors : Martino Bardi and Hicham Kouhkouh.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 52
  Published online: 03/07/2023
  Keywords: Singular perturbations ; two-scale systems ; stochastic optimal control ; homogenization ; viscosity solutions ; Hamilton-Jacobi-Bellman equations ; invariant measures.35B25 ; 93E20 ; 93C70 ; 49L25.
  Keywords: Singular perturbations; two-scale systems; stochastic optimal control; homogenization; viscosity solutions; Hamilton-Jacobi-Bellman equations; invariant measures; 35B25; 93E20; 93C70; 49L25
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-07-03
  DOI: 10.1051/cocv/2023020
  Issue No: Vol. 29 (2023)
A class of one dimensional periodic microstructures exhibiting effective
Timoshenko Beam behavior
- Authors: Jean-Jacques Alibert, Emilio Barchiesi, Francesco dell’Isola, Pierre Seppecher
  First page: 53
  Abstract:
  Authors : Jean-Jacques Alibert, Emilio Barchiesi, Francesco dell’Isola and Pierre Seppecher.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 53
  Published online: 18/07/2023
  Keywords: Γ-convergence ; homogenization ; Euler–Bernoulli beam ; Timoshenko beam.26A45 ; 34E13 ; 74B20 ; 74G65.
  Keywords: Γ-convergence; homogenization; Euler–Bernoulli beam; Timoshenko beam; 26A45; 34E13; 74B20; 74G65
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-07-18
  DOI: 10.1051/cocv/2023048
  Issue No: Vol. 29 (2023)
Dynamic Optimal Transport on Networks
- Authors: Martin Burger, Ina Humpert, Jan-Frederik Pietschmann
  First page: 54
  Abstract:
  Authors : Martin Burger, Ina Humpert and Jan-Frederik Pietschmann.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 54
  Published online: 18/07/2023
  Keywords: Metric graph ; optimal transport ; gradient flow ; convex duality ; entropy.35R02 ; 49Q22 ; 60B05.
  Keywords: Metric graph; optimal transport; gradient flow; convex duality; entropy; 35R02; 49Q22; 60B05
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-07-18
  DOI: 10.1051/cocv/2023027
  Issue No: Vol. 29 (2023)
Turnpike properties of optimal boundary control problems with random
linear hyperbolic systems
- Authors: Martin Gugat, Michael Herty
  First page: 55
  Abstract:
  Authors : Martin Gugat and Michael Herty.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 55
  Published online: 25/07/2023
  Keywords: Optimal control ; turnpike phenomenon ; random coefficients ; generalized polynomial chaos expansion ; uncertainty.35Q49 ; 93E20 ; 49K45 ; 49J20.
  Keywords: Optimal control; turnpike phenomenon; random coefficients; generalized polynomial chaos expansion; uncertainty; 35Q49; 93E20; 49K45; 49J20
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-07-25
  DOI: 10.1051/cocv/2023051
  Issue No: Vol. 29 (2023)
Equilibrium pricing of securities in the co-presence of cooperative and
non-cooperative populations
- Authors: Masaaki Fujii
  First page: 56
  Abstract:
  Authors : Masaaki Fujii.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 56
  Published online: 25/07/2023
  Keywords: Market clearing ; mean-field games ; extended mean-field control ; controlled-FBSDEs.49N80 ; 91B24 ; 93E20.
  Keywords: Market clearing; mean-field games; extended mean-field control; controlled-FBSDEs; 49N80; 91B24; 93E20
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-07-25
  DOI: 10.1051/cocv/2023049
  Issue No: Vol. 29 (2023)
Stabilization of the wave equation through nonlinear Dirichlet actuation
- Authors: Nicolas Vanspranghe, Francesco Ferrante, Christophe Prieur
  First page: 57
  Abstract:
  Authors : Nicolas Vanspranghe, Francesco Ferrante and Christophe Prieur.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 57
  Published online: 25/07/2023
  Keywords: Wave equation ; boundary stabilization ; saturating feedback ; asymptotic stability ; polynomial decay rates.35L05 ; 93C20 ; 93D15 ; 93D20.
  Keywords: Wave equation; boundary stabilization; saturating feedback; asymptotic stability; polynomial decay rates; 35L05; 93C20; 93D15; 93D20
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-07-25
  DOI: 10.1051/cocv/2022077
  Issue No: Vol. 29 (2023)
A general maximum principle for progressive optimal control of partially
observed mean-field stochastic system with Markov chain
- Authors: Tian Chen, Yunxiao Jia
  First page: 58
  Abstract:
  Authors : Tian Chen and Yunxiao Jia.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 58
  Published online: 25/07/2023
  Keywords: Partial observation ; mean-field control ; stochastic maximum principle ; Markov chain ; spike variation.93E20 ; 49N30 ; 93C41.
  Keywords: Partial observation; mean-field control; stochastic maximum principle; Markov chain; spike variation; 93E20; 49N30; 93C41
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-07-25
  DOI: 10.1051/cocv/2023050
  Issue No: Vol. 29 (2023)
Controllability of the Schrödinger equation on unbounded domains without
geometric control condition
- Authors: Matthias Täufer
  First page: 59
  Abstract:
  Authors : Matthias Täufer.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 59
  Published online: 31/07/2023
  Keywords: Controllability ; Schrödinger equation ; observability estimate ; Floquet-Bloch theory.93Bxx ; 35Q93.
  Keywords: Controllability; Schrödinger equation; observability estimate; Floquet-Bloch theory; 93Bxx; 35Q93
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-07-31
  DOI: 10.1051/cocv/2023037
  Issue No: Vol. 29 (2023)
Zermelo navigation problems on surfaces of revolution and geometric
optimal control
- Authors: Bernard Bonnard, Olivier Cots, Boris Wembe
  First page: 60
  Abstract:
  Authors : Bernard Bonnard, Olivier Cots and Boris Wembe.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 60
  Published online: 31/07/2023
  Keywords: Zermelo navigation problems ; optimal control ; abnormal geodesics ; conjugate and cut loci ; regularity of the value function.49K15 ; 53C60 ; 70H05.
  Keywords: Zermelo navigation problems; optimal control; abnormal geodesics; conjugate and cut loci; regularity of the value function; 49K15; 53C60; 70H05
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-07-31
  DOI: 10.1051/cocv/2023052
  Issue No: Vol. 29 (2023)
Observability of a string-beams network with many beams
- Authors: Anna Chiara Lai, Paola Loreti, Michel Mehrenberger
  First page: 61
  Abstract:
  Authors : Anna Chiara Lai, Paola Loreti and Michel Mehrenberger.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 61
  Published online: 01/08/2023
  Keywords: Observability ; coupled string-beam system ; Fourier series ; non-harmonic analysis ; strings ; beams.93B07 ; 74K10 ; 42A16 ; 35M10 ; 35A25.
  Keywords: Observability; coupled string-beam system; Fourier series; non-harmonic analysis; strings; beams; 93B07; 74K10; 42A16; 35M10; 35A25
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-08-01
  DOI: 10.1051/cocv/2023054
  Issue No: Vol. 29 (2023)
New second-order optimality conditions in sub-riemannian geometry
- Authors: Michał Jóźwikowski
  First page: 62
  Abstract:
  Authors : Michał Jóźwikowski.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 62
  Published online: 31/07/2023
  Keywords: Sub-Riemannian geometry ; geodesic ; abnormal minimizer ; optimality condtitions ; 2-jet ; Goh conditions.53C17 ; 49K15.
  Keywords: Sub-Riemannian geometry; geodesic; abnormal minimizer; optimality condtitions; 2-jet; Goh conditions; 53C17; 49K15
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-07-31
  DOI: 10.1051/cocv/2023046
  Issue No: Vol. 29 (2023)
Analyticity and observability for fractional order parabolic equations in
the whole space
- Authors: Ming Wang, Can Zhang
  First page: 63
  Abstract:
  Authors : Ming Wang and Can Zhang.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 63
  Published online: 01/08/2023
  Keywords: Fractional order ; Parabolic equations ; Analyticity ; Observability.35K05 ; 93B07.
  Keywords: Fractional order; Parabolic equations; Analyticity; Observability; 35K05; 93B07
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-08-01
  DOI: 10.1051/cocv/2023053
  Issue No: Vol. 29 (2023)
Directional differentiability for shape optimization with variational
inequalities as constraints
- Authors: Victor A. Kovtunenko, Karl Kunisch
  First page: 64
  Abstract:
  Authors : Victor A. Kovtunenko and Karl Kunisch.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 64
  Published online: 08/08/2023
  Keywords: Optimal control ; shape optimization ; variational inequality ; penalization ; Lagrange method ; Lavrentiev regularization ; free discontinuity ; non-penetrating crack.35R37 ; 49J40 ; 49Q10 ; 74RXX.
  Keywords: Optimal control; shape optimization; variational inequality; penalization; Lagrange method; Lavrentiev regularization; free discontinuity; non-penetrating crack; 35R37; 49J40; 49Q10; 74RXX
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-08-08
  DOI: 10.1051/cocv/2023056
  Issue No: Vol. 29 (2023)
Controllability of surface gravity waves and the sloshing problem
- Authors: M.A. Fontelos, J. López-Ríos
  First page: 65
  Abstract:
  Authors : M.A. Fontelos and J. López-Ríos.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 65
  Published online: 09/08/2023
  Keywords: Controllability ; gravity waves ; the sloshing problem ; Hilbert transform.35Q31 ; 35J57 ; 44A15.
  Keywords: Controllability; gravity waves; the sloshing problem; Hilbert transform; 35Q31; 35J57; 44A15
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-08-09
  DOI: 10.1051/cocv/2023042
  Issue No: Vol. 29 (2023)
Qualitative analysis of solutions to mixed-order positive linear coupled
systems with bounded or unbounded delays
- Authors: Hoang The Tuan, La Van Thinh
  First page: 66
  Abstract:
  Authors : Hoang The Tuan and La Van Thinh.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 66
  Published online: 11/08/2023
  Keywords: Fractional differential equations ; mixed-order systems with bounded or unbounded delays ; positive coupled systems ; existence and uniqueness ; asymptotic behavior of solutions ; smallest asymptotic bounded of solutions.34A08 ; 34K37 ; 45A05 ; 45M05 ; 45M10 ; 45M20.
  Keywords: Fractional differential equations; mixed-order systems with bounded or unbounded delays; positive coupled systems; existence and uniqueness; asymptotic behavior of solutions; smallest asymptotic bounded of solutions; 34A08; 34K37; 45A05; 45M05; 45M10; 45M20
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-08-11
  DOI: 10.1051/cocv/2023057
  Issue No: Vol. 29 (2023)
Well-posedness and regularity for a polyconvex energy
- Authors: Wilfrid Gangbo, Matt Jacobs, Inwon Kim
  First page: 67
  Abstract:
  Authors : Wilfrid Gangbo, Matt Jacobs and Inwon Kim.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 67
  Published online: 11/08/2023
  Keywords: Calculus of variations ; polyconvexity ; convex duality ; Ekeland variational principle ; Navier-Stokes.49K20 ; 49K35 ; 49N15 ; 76D05.
  Keywords: Calculus of variations; polyconvexity; convex duality; Ekeland variational principle; Navier-Stokes; 49K20; 49K35; 49N15; 76D05
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-08-11
  DOI: 10.1051/cocv/2023041
  Issue No: Vol. 29 (2023)
On the energy scaling behaviour of singular perturbation models with
prescribed dirichlet data involving higher order laminates*
- Authors: Angkana Rüland, Antonio Tribuzio
  First page: 68
  Abstract:
  Authors : Angkana Rüland and Antonio Tribuzio.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 68
  Published online: 11/08/2023
  Keywords: Higher order laminates ; scaling law ; singular perturbation ; branching construction.35B25 ; 74N15 ; 35B36.
  Keywords: Higher order laminates; scaling law; singular perturbation; branching construction; 35B25; 74N15; 35B36
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-08-11
  DOI: 10.1051/cocv/2023047
  Issue No: Vol. 29 (2023)
Control Sets of Linear Control Systems on ℝ2. The Complex Case
- Authors: Víctor Ayala, Adriano Da Silva, Erik Mamani
  First page: 69
  Abstract:
  Authors : Víctor Ayala, Adriano Da Silva and Erik Mamani.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 69
  Published online: 17/08/2023
  Keywords: Linear control systems – control sets ; controllability.93B03 ; 9B05 ; 93B27.
  Keywords: Linear control systems – control sets; controllability; 93B03; 9B05; 93B27
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-08-17
  DOI: 10.1051/cocv/2023043
  Issue No: Vol. 29 (2023)
Derivatives of Sub-Riemannian Geodesics are Lp-Hölder Continuous*
- Authors: Lev Lokutsievskiy, Mikhail Zelikin
  First page: 70
  Abstract:
  Authors : Lev Lokutsievskiy and Mikhail Zelikin.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 70
  Published online: 18/08/2023
  Keywords: Sub-Riemannian geometry ; abnormal geodesic ; Besov spaces ; interpolation theory ; convex duality problem.53C17 ; 49J15.
  Keywords: Sub-Riemannian geometry; abnormal geodesic; Besov spaces; interpolation theory; convex duality problem; 53C17; 49J15
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-08-18
  DOI: 10.1051/cocv/2023055
  Issue No: Vol. 29 (2023)
Mean-field limit of a hybrid system for multi-lane multi-class
traffic******
- Authors: Xiaoqian Gong, Benedetto Piccoli, Giuseppe Visconti
  First page: 71
  Abstract:
  Authors : Xiaoqian Gong, Benedetto Piccoli and Giuseppe Visconti.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 71
  Published online: 22/08/2023
  Keywords: Multi-lane traffic ; autonomous vehicles ; mean-field limit ; hybrid systems ; generalized Wasserstain distance.90B20 ; 34A38 ; 35Q83.
  Keywords: Multi-lane traffic; autonomous vehicles; mean-field limit; hybrid systems; generalized Wasserstain distance; 90B20; 34A38; 35Q83
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-08-22
  DOI: 10.1051/cocv/2023039
  Issue No: Vol. 29 (2023)
Uniformly exponential stability of semi-discrete scheme for a vibration
cable with a tip mass under observer-based feedback control
- Authors: Bao-Zhu Guo, Xi Zhao
  First page: 72
  Abstract:
  Authors : Bao-Zhu Guo and Xi Zhao.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 72
  Published online: 08/09/2023
  Keywords: Wave equation ; tip mass ; exponential stability ; finite-difference scheme.35L05 ; 49M25 ; 34D20 ; 65L20 ; 65N12.
  Keywords: Wave equation; tip mass; exponential stability; finite-difference scheme; 35L05; 49M25; 34D20; 65L20; 65N12
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-09-08
  DOI: 10.1051/cocv/2023058
  Issue No: Vol. 29 (2023)
The H∞-control problem for parabolic systems. Applications to systems
with singular Hardy potentials*
- Authors: Gabriela Marinoschi
  First page: 73
  Abstract:
  Authors : Gabriela Marinoschi.
  ESAIM: Control, Optimisation and Calculus of Variations Vol. 29 , page 73
  Published online: 14/09/2023
  Keywords: H∞-control ; feedback control ; robust control ; abstract parabolic problems ; Hardy potentials.93B36 ; 93B52 ; 93B35 ; 35K90.
  Keywords: H∞-control; feedback control; robust control; abstract parabolic problems; Hardy potentials; 93B36; 93B52; 93B35; 35K90
  Citation: ESAIM: Control, Optimisation and Calculus of Variations Vol. 29
  PubDate: 2023-09-14
  DOI: 10.1051/cocv/2023059
  Issue No: Vol. 29 (2023)