Subjects -> MATHEMATICS (Total: 1111 journals)
    - APPLIED MATHEMATICS (89 journals)
    - GEOMETRY AND TOPOLOGY (23 journals)
    - MATHEMATICS (818 journals)
    - MATHEMATICS (GENERAL) (45 journals)
    - NUMERICAL ANALYSIS (25 journals)

MATHEMATICS (818 journals)            First | 1 2 3 4 5     

Showing 401 - 538 of 538 Journals sorted alphabetically
Journal of Computational Physics : X     Open Access   (Followers: 1)
Journal of Computer Engineering, System and Science (CESS)     Open Access  
Journal of Contemporary Mathematical Analysis     Hybrid Journal  
Journal of Cryptology     Hybrid Journal   (Followers: 5)
Journal of Difference Equations and Applications     Hybrid Journal  
Journal of Differential Equations     Full-text available via subscription   (Followers: 1)
Journal of Discrete Algorithms     Hybrid Journal   (Followers: 4)
Journal of Discrete Mathematics     Open Access   (Followers: 1)
Journal of Dynamics and Differential Equations     Hybrid Journal  
Journal of Engineering Mathematics     Hybrid Journal   (Followers: 2)
Journal of Evolution Equations     Hybrid Journal  
Journal of Experimental Algorithmics     Full-text available via subscription   (Followers: 1)
Journal of Flood Risk Management     Hybrid Journal   (Followers: 14)
Journal of Formalized Reasoning     Open Access   (Followers: 2)
Journal of Function Spaces     Open Access  
Journal of Functional Analysis     Full-text available via subscription   (Followers: 2)
Journal of Geochemical Exploration     Hybrid Journal   (Followers: 1)
Journal of Geological Research     Open Access   (Followers: 1)
Journal of Geovisualization and Spatial Analysis     Hybrid Journal  
Journal of Global Optimization     Hybrid Journal   (Followers: 7)
Journal of Global Research in Mathematical Archives     Open Access   (Followers: 1)
Journal of Group Theory     Hybrid Journal   (Followers: 2)
Journal of Homotopy and Related Structures     Hybrid Journal  
Journal of Honai Math     Open Access  
Journal of Humanistic Mathematics     Open Access   (Followers: 1)
Journal of Hyperbolic Differential Equations     Hybrid Journal  
Journal of Indian Council of Philosophical Research     Hybrid Journal  
Journal of Industrial Mathematics     Open Access   (Followers: 2)
Journal of Inequalities and Applications     Open Access  
Journal of Infrared, Millimeter and Terahertz Waves     Hybrid Journal   (Followers: 2)
Journal of Integrable Systems     Open Access   (Followers: 1)
Journal of K-Theory     Full-text available via subscription  
Journal of Knot Theory and Its Ramifications     Hybrid Journal   (Followers: 1)
Journal of Kufa for Mathematics and Computer     Open Access   (Followers: 1)
Journal of Liquid Chromatography & Related Technologies     Hybrid Journal   (Followers: 7)
Journal of Logical and Algebraic Methods in Programming     Hybrid Journal  
Journal of Manufacturing Systems     Full-text available via subscription   (Followers: 4)
Journal of Mathematical Analysis and Applications     Full-text available via subscription   (Followers: 4)
Journal of mathematical and computational science     Open Access   (Followers: 7)
Journal of Mathematical and Fundamental Sciences     Open Access  
Journal of Mathematical Behavior     Hybrid Journal   (Followers: 3)
Journal of Mathematical Chemistry     Hybrid Journal   (Followers: 3)
Journal of Mathematical Cryptology     Hybrid Journal   (Followers: 1)
Journal of Mathematical Extension     Open Access   (Followers: 3)
Journal of Mathematical Finance     Open Access   (Followers: 9)
Journal of Mathematical Imaging and Vision     Hybrid Journal   (Followers: 6)
Journal of Mathematical Logic     Hybrid Journal   (Followers: 3)
Journal of Mathematical Modelling and Algorithms     Hybrid Journal   (Followers: 1)
Journal of Mathematical Neuroscience     Open Access   (Followers: 10)
Journal of Mathematical Sciences     Hybrid Journal  
Journal of Mathematical Sciences and Applications     Open Access   (Followers: 2)
Journal of Mathematical Sociology     Hybrid Journal   (Followers: 3)
Journal of Mathematics     Open Access  
Journal of Mathematics and Statistics     Open Access   (Followers: 8)
Journal of Mathematics and Statistics Studies     Open Access   (Followers: 3)
Journal of Mathematics and the Arts     Hybrid Journal   (Followers: 2)
Journal of Mathematics Education at Teachers College     Open Access   (Followers: 2)
Journal of Mathematics in Industry     Open Access  
Journal of Mathematics Research     Open Access   (Followers: 6)
Journal of Metallurgy     Open Access   (Followers: 7)
Journal of Modern Mathematics Frontier     Open Access  
Journal of Multidisciplinary Modeling and Optimization     Open Access  
Journal of Multivariate Analysis     Hybrid Journal   (Followers: 13)
Journal of Natural Sciences and Mathematics Research     Open Access  
Journal of Nonlinear Analysis and Optimization : Theory & Applications     Open Access   (Followers: 4)
Journal of Nonlinear Mathematical Physics     Hybrid Journal   (Followers: 1)
Journal of Nonlinear Science     Hybrid Journal   (Followers: 1)
Journal of Numerical Cognition     Open Access   (Followers: 1)
Journal of Numerical Mathematics     Hybrid Journal   (Followers: 2)
Journal of Optimization     Open Access   (Followers: 5)
Journal of Peridynamics and Nonlocal Modeling     Hybrid Journal  
Journal of Problem Solving     Open Access   (Followers: 2)
Journal of Progressive Research in Mathematics     Open Access   (Followers: 5)
Journal of Pseudo-Differential Operators and Applications     Hybrid Journal  
Journal of Pure and Applied Algebra     Full-text available via subscription   (Followers: 4)
Journal of Quantitative Analysis in Sports     Hybrid Journal   (Followers: 9)
Journal of Quantitative Linguistics     Hybrid Journal   (Followers: 6)
Journal of Scientific Computing     Hybrid Journal   (Followers: 18)
Journal of Scientific Research     Open Access  
Journal of Symbolic Computation     Hybrid Journal   (Followers: 1)
Journal of the Australian Mathematical Society     Full-text available via subscription  
Journal of the Egyptian Mathematical Society     Open Access  
Journal of the European Mathematical Society     Full-text available via subscription   (Followers: 1)
Journal of the Indian Mathematical Society     Hybrid Journal   (Followers: 1)
Journal of the Institute of Mathematics of Jussieu     Hybrid Journal  
Journal of the London Mathematical Society     Hybrid Journal   (Followers: 2)
Journal of the Nigerian Mathematical Society     Open Access   (Followers: 1)
Journal of Theoretical and Applied Physics     Open Access   (Followers: 8)
Journal of Topology and Analysis     Hybrid Journal  
Journal of Transport and Supply Chain Management     Open Access   (Followers: 16)
Journal of Turbulence     Hybrid Journal   (Followers: 9)
Journal of Uncertainty Analysis and Applications     Open Access   (Followers: 1)
Journal of Universal Mathematics     Open Access  
Journal of Urban Regeneration & Renewal     Full-text available via subscription   (Followers: 11)
JRAMathEdu : Journal of Research and Advances in Mathematics Education     Open Access   (Followers: 5)
JUMLAHKU : Jurnal Matematika Ilmiah STKIP Muhammadiyah Kuningan     Open Access   (Followers: 3)
JURING (Journal for Research in Mathematics Learning)     Open Access   (Followers: 1)
Jurnal Ilmiah AdMathEdu     Open Access  
Jurnal Matematika     Open Access   (Followers: 1)
Jurnal Matematika Integratif     Open Access  
Jurnal Matematika, Sains, Dan Teknologi     Open Access  
Jurnal Natural     Open Access  
Jurnal Pendidikan Matematika Raflesia     Open Access  
Jurnal Penelitian Pembelajaran Matematika Sekolah     Open Access  
Jurnal Penelitian Sains (JPS)     Open Access  
Jurnal Riset Pendidikan Matematika     Open Access  
Jurnal Sains Matematika dan Statistika     Open Access  
Jurnal Tadris Matematika     Open Access  
Jurnal Teknologi dan Sistem Komputer     Open Access  
Kontinu : Jurnal Penelitian Didaktik Matematika     Open Access   (Followers: 3)
Kreano, Jurnal Matematika Kreatif-Inovatif     Open Access   (Followers: 6)
Le Matematiche     Open Access  
Learning and Teaching Mathematics     Full-text available via subscription   (Followers: 7)
Lettera Matematica     Hybrid Journal  
Lietuvos Matematikos Rinkinys     Open Access   (Followers: 3)
Limits : Journal of Mathematics and Its Applications     Open Access   (Followers: 1)
Linear Algebra and its Applications     Full-text available via subscription   (Followers: 23)
Linear and Multilinear Algebra     Hybrid Journal   (Followers: 8)
Lithuanian Mathematical Journal     Hybrid Journal  
LMS Journal of Computation and Mathematics     Free  
Lobachevskii Journal of Mathematics     Open Access  
Logic and Analysis     Hybrid Journal   (Followers: 1)
Logic Journal of the IGPL     Hybrid Journal   (Followers: 1)
Logica Universalis     Hybrid Journal  
manuscripta mathematica     Hybrid Journal  
MaPan : Jurnal Matematika dan Pembelajaran     Open Access  
Marine Genomics     Hybrid Journal   (Followers: 2)
Matemáticas, Educación y Sociedad     Open Access  
Matematicheskie Zametki     Full-text available via subscription  
Matematika     Open Access  
Matematychni Studii     Open Access  
Mathematica Eterna     Open Access  
Mathematica Scandinavica     Full-text available via subscription   (Followers: 1)
Mathematica Slovaca     Hybrid Journal   (Followers: 1)
Mathematical and Computational Forestry & Natural-Resource Sciences     Free  
Mathematical Communications     Open Access  
Mathematical Computation     Open Access   (Followers: 1)
Mathematical Geosciences     Hybrid Journal   (Followers: 3)
Mathematical Journal of Interdisciplinary Sciences     Open Access   (Followers: 1)
Mathematical Medicine and Biology: A Journal of the IMA     Hybrid Journal   (Followers: 1)
Mathematical Methods in the Applied Sciences     Hybrid Journal   (Followers: 4)
Mathematical Methods of Statistics     Hybrid Journal   (Followers: 4)
Mathematical Modelling and Analysis     Open Access   (Followers: 1)
Mathematical Modelling in Civil Engineering     Open Access   (Followers: 5)
Mathematical Modelling of Natural Phenomena     Full-text available via subscription   (Followers: 1)
Mathematical Models and Methods in Applied Sciences     Hybrid Journal   (Followers: 2)
Mathematical Models in Engineering     Open Access   (Followers: 3)
Mathematical Notes     Hybrid Journal  
Mathematical Proceedings of the Cambridge Philosophical Society     Full-text available via subscription   (Followers: 2)
Mathematical Programming Computation     Hybrid Journal   (Followers: 3)
Mathematical Sciences     Open Access  
Mathematical Social Sciences     Hybrid Journal   (Followers: 1)
Mathematical Theory and Modeling     Open Access   (Followers: 13)
Mathematical Thinking and Learning     Hybrid Journal   (Followers: 3)
Mathematics and Statistics     Open Access   (Followers: 5)
Mathematics Education Forum Chitwan     Open Access   (Followers: 1)
Mathematics Education Journal     Open Access   (Followers: 2)
Mathematics Education Research Journal     Partially Free   (Followers: 18)
Mathematics in Science and Engineering     Full-text available via subscription  
Mathematics of Control, Signals, and Systems (MCSS)     Hybrid Journal   (Followers: 5)
Mathematics of Quantum and Nano Technologies     Open Access  
Mathématiques et sciences humaines     Open Access   (Followers: 7)
Mathematische Annalen     Hybrid Journal   (Followers: 1)
Mathematische Nachrichten     Hybrid Journal   (Followers: 1)
Mathematische Semesterberichte     Hybrid Journal  
Mathematische Zeitschrift     Hybrid Journal   (Followers: 1)
MathLAB Journal     Open Access   (Followers: 5)
MATI : Mathematical Aspects of Topological Indeces     Open Access  
MATICS     Open Access   (Followers: 2)
Matrix Science Mathematic     Open Access   (Followers: 1)
Measurement Science Review     Open Access   (Followers: 3)
Mediterranean Journal of Mathematics     Hybrid Journal  
Memetic Computing     Hybrid Journal  
Mendel : Soft Computing Journal     Open Access  
Metaheuristics     Hybrid Journal  
Metals and Materials International     Hybrid Journal  
Metascience     Hybrid Journal   (Followers: 1)
Metrology and Instruments / Метрологія та прилади     Open Access  
Milan Journal of Mathematics     Hybrid Journal  
Mitteilungen der DMV     Hybrid Journal  
MLQ- Mathematical Logic Quarterly     Hybrid Journal   (Followers: 1)
MONA : Matematik- og Naturfagsdidaktik     Hybrid Journal   (Followers: 5)
Monatshefte fur Mathematik     Hybrid Journal  
Moroccan Journal of Pure and Applied Analysis     Open Access   (Followers: 4)
Moscow University Mathematics Bulletin     Hybrid Journal  
MSOR Connections     Open Access   (Followers: 1)
Multiscale Modeling and Simulation     Hybrid Journal   (Followers: 3)
MUST : Journal of Mathematics Education, Science and Technology     Open Access   (Followers: 1)
Nagoya Mathematical Journal     Hybrid Journal  
Nano Research     Hybrid Journal   (Followers: 4)
Nanotechnologies in Russia     Hybrid Journal   (Followers: 1)
Natural Resource Modeling     Hybrid Journal   (Followers: 1)
New Mathematics and Natural Computation     Hybrid Journal  
Nonlinear Analysis : Modelling and Control     Open Access   (Followers: 1)
Nonlinear Analysis : Theory, Methods & Applications     Hybrid Journal   (Followers: 1)
Nonlinear Analysis: Hybrid Systems     Hybrid Journal  
Nonlinear Analysis: Real World Applications     Hybrid Journal   (Followers: 2)
Nonlinear Differential Equations and Applications NoDEA     Hybrid Journal  
Nonlinear Engineering     Open Access  
Nonlinear Oscillations     Hybrid Journal   (Followers: 1)

  First | 1 2 3 4 5     

Similar Journals
Journal Cover
Nonlinear Differential Equations and Applications NoDEA
Journal Prestige (SJR): 1.276
Citation Impact (citeScore): 1
Number of Followers: 0  
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 1021-9722 - ISSN (Online) 1420-9004
Published by Springer-Verlag Homepage  [2643 journals]
  • Remark on the persistence of spatial analyticity for cubic nonlinear
           Schrödinger equation on the circle
    • Abstract: Abstract We show that the uniform radius of spatial analyticity \(\sigma (t)\) of solutions at time t to the cubic nonlinear Schrödinger equations (NLS) on the circle cannot decay faster than 1 / t as \( t \rightarrow \infty \) , given initial data that is analytic with fixed radius \(\sigma _0\) . The same decay rate has been recently established for cubic NLS on the real line.
      PubDate: 2019-03-21
      DOI: 10.1007/s00030-019-0558-6
  • Existence of solutions for the magnetohydrodynamics with power-law type
           nonlinear viscous fluid
    • Abstract: Abstract We are concerned with the existence of solutions for the magnetohydrodynamics with power-law type nonlinear viscous fluid in \({{\mathbb {R}}}^3\) . We construct weak solutions for \(q>8/5\) , and furthermore, in case \(q\ge 5/2\) , we prove the existence of strong solutions.
      PubDate: 2019-03-18
      DOI: 10.1007/s00030-019-0557-7
  • Porous medium equation with a blow-up nonlinearity and a non-decreasing
    • Abstract: Abstract The final goal of this paper is to prove existence of local (strong) solutions to a (fully nonlinear) porous medium equation with blow-up term and nondecreasing constraint. To this end, the equation, arising in the context of Damage Mechanics, is reformulated as a mixed form of two different types of doubly nonlinear evolution equations. Global (in time) solutions to some approximate problems are constructed by performing a time discretization argument and by taking advantage of energy techniques based on specific structures of the equation. Moreover, a variational comparison principle for (possibly non-unique) approximate solutions is established and it also enables us to obtain a local solution as a limit of approximate ones.
      PubDate: 2019-02-25
      DOI: 10.1007/s00030-019-0551-0
  • A note on expansion of convex plane curves via inverse curvature flow
    • Abstract: Abstract Andrews and Bryan (J Reine Angew Math 653:179–187, 2011) discovered a comparison function which allows them to shorten the classical proof of the well-known fact that the curve shortening flow shrinks embedded closed curves in the plane to a round point. Using this comparison function they estimate the length of any chord from below in terms of the arc length between its endpoints and elapsed time. They apply this estimate to short segments and deduce directly that the maximum curvature decays exponentially to the curvature of a circle with the same length. We consider the expansion of convex curves under inverse (mean) curvature flow and show that the above comparison function also works in this case to obtain a new proof of the fact that the flow exists for all times and becomes round in shape, i.e. converges smoothly to the unit circle after an appropriate rescaling.
      PubDate: 2019-02-18
      DOI: 10.1007/s00030-019-0556-8
  • Movable singularity of semi linear Heun equation and application to blowup
    • Abstract: Abstract In this paper we shall study the movable singularity of semi linear Heun equation and its application to the blowup of a semi linear wave equation. In fact, the semi linear Heun equation appears if we consider a radially symmetric self-similar solution of the semi linear wave equation. By the movable singularity we mean the singularity which does not appear in the coefficients of the equation and that depends on the respective solution. We focus on movable singularity when we construct a singular solution of the semi linear wave equation with singularities on the characteristic cone. In the proof of our theorem we reduce our equation to a simpler form by the method similar to the so-called Birkhoff reduction, then we analyze the reduced equation. The latter part is closely related with the parametrization of a solution in terms of the Jacobi elliptic function.
      PubDate: 2019-02-05
      DOI: 10.1007/s00030-019-0555-9
  • Hamilton–Jacobi–Bellman Equations with Time-Measurable Data
           and Infinite Horizon
    • Abstract: Abstract In this paper we investigate the existence and uniqueness of weak solutions of the nonautonomous Hamilton–Jacobi–Bellman equation on the domain \((0,\infty ) \times \Omega \) . The Hamiltonian is assumed to be merely measurable in time variable and the open set \(\Omega \) may be unbounded with nonsmooth boundary. The set \(\overline{\Omega }\) is called here a state constraint. When state constraints arise, then classical analysis of Hamilton–Jacobi–Bellman equation lacks appropriate notion of solution because continuous solutions could not exist. In this work we propose a notion of weak solution for which, under a suitable controllability assumption, existence and uniqueness theorems are valid in the class of lower semicontinuous functions vanishing at infinity.
      PubDate: 2019-02-04
      DOI: 10.1007/s00030-019-0553-y
  • Anti-symmetry of the second eigenfunction of the fractional Laplace
           operator in a 3-D ball
    • Abstract: Abstract In this work we extend a recent result by Dyda et al. (J Lond Math Soc 95(2):500–518, 2017) to dimension 3.
      PubDate: 2019-02-02
      DOI: 10.1007/s00030-019-0554-x
  • Around a singular solution of a nonlocal nonlinear heat equation
    • Abstract: Abstract We study the existence of global-in-time solutions for a nonlinear heat equation with nonlocal diffusion, power nonlinearity and suitably small data (either compared in the pointwise sense to the singular solution or in the norm of a critical Morrey space). Then, asymptotics of subcritical solutions is determined. These results are compared with conditions on the initial data leading to a finite time blowup.
      PubDate: 2019-02-01
      DOI: 10.1007/s00030-019-0552-z
  • Joint time-state generalized semiconcavity of the value function of a jump
           diffusion optimal control problem
    • Abstract: Abstract We prove generalized semiconcavity results, jointly in time and state variables, for the value function of a stochastic finite horizon optimal control problem, where the evolution of the state variable is described by a general stochastic differential equation (SDE) of jump type. Assuming that terms comprising the SDE are \(C^1\) -smooth, and that running and terminal costs are semiconcave in generalized sense, we show that the value function is also semiconcave in generalized sense, estimating the semiconcavity modulus of the value function in terms of smoothness and generalized semiconcavity moduli of data. Of course, these translate into analogous regularity results for (viscosity) solutions of integro-differential Hamilton–Jacobi–Bellman equations due to their controllistic interpretation. This paper may be seen as a sequel to Feleqi (Dyn Games Appl 3(4):523–536, 2013), where we dealt with the generalized semiconcavity of the value function only in the state variable.
      PubDate: 2019-01-17
      DOI: 10.1007/s00030-018-0550-6
  • A note on the upper perturbation property and removable sets for fully
           nonlinear degenerate elliptic PDE
    • Abstract: Abstract The purpose of this short note is to attract attention to the concept of the upper perturbation property of \(L^n\) -viscosity subsolutions introduced in Crandall et al. (in: On the equivalence of various weak notions of solutions of elliptic PDEs with measurable ingredients, progress in elliptic and parabolic partial differential equations (Capri, 1994), Longman, Harlow, 1996). We show that a recent result of Braga and Moreira (NoDEA Nonlinear Differ Equ Appl 25(2):12, 2018) about removable sets for viscosity solutions of fully nonlinear degenerate elliptic PDE is an easy consequence of the upper perturbation property. We also prove a parabolic result about removable sets.
      PubDate: 2019-01-03
      DOI: 10.1007/s00030-018-0547-1
  • Essential m-dissipativity of Kolmogorov operators for the 2D-stochastic
           shear thickening fluids
    • Abstract: Abstract We study a class of viscous, incompressible non-Newtonian fluids in two space dimensions with periodic boundary conditions and an additive Gaussian noise. The nonlinear elliptic operator related to the stress tensor possesses p-structure. When the fluid is shear thickening, we prove that the associated Kolmogorov operator is essentially m-dissipative in a space with respect to an invariant measure. In addition, if the viscosity constant is sufficiently large, we show that the invariant measure is exponential mixing so that it is also unique.
      PubDate: 2019-01-02
      DOI: 10.1007/s00030-018-0549-z
  • Intermittency and stochastic pseudo-differential equation with spatially
           inhomogeneous white noise
    • Abstract: Abstract In this paper, we study the intermittent property for the following nonlinear stochastic partial differential equation (SPDE in the sequel) in (1+1)-dimension $$\begin{aligned} \left( \frac{\partial }{\partial t}+q(x,D_x)\right) u(t,x)= g(u(t,x))\frac{\partial ^2 w_\rho }{\partial t\partial x}(t,x),\quad t>0 \quad \mathrm{and} \quad x\in {\mathbb {R}}, \end{aligned}$$ with \(q(x,D_x)\) is a pseudo-differential operator which generates a stable-like process. The forcing noise denoted by \(\frac{\partial ^2 w_\rho }{\partial t\partial x}(t,x)\) is a spatially inhomogeneous white noise. Under some mild assumptions on the catalytic measure of the inhomogeneous Brownian sheet \(w_\rho (t,x)\) , we prove that the solution is weakly full intermittent based on the moment estimates of the solution.
      PubDate: 2019-01-02
      DOI: 10.1007/s00030-018-0548-0
  • Critical exponent for the semilinear wave equations with a damping
           increasing in the far field
    • Abstract: Abstract We consider the Cauchy problem of the semilinear wave equation with a damping term $$\begin{aligned} \left\{ \begin{array}{ll} u_{tt} - \Delta u + c(t,x) u_t = u ^p,&{}(t,x)\in (0,\infty )\times {\mathbb {R}}^N,\\ u(0,x) = \varepsilon u_0(x), \quad u_t(0,x) = \varepsilon u_1(x),&{} x\in {\mathbb {R}}^N, \end{array}\right. \end{aligned}$$ where \(p>1\) and the coefficient of the damping term has the form $$\begin{aligned} c(t,x) = a_0 (1+ x ^2)^{-\alpha /2} (1+t)^{-\beta } \end{aligned}$$ with some \(a_0 > 0\) , \(\alpha < 0\) , \(\beta \in (-1, 1]\) . In particular, we mainly consider the cases $$\begin{aligned} \alpha< 0, \beta =0 \quad \text{ or } \quad \alpha < 0, \beta = 1, \end{aligned}$$ which imply \(\alpha + \beta < 1\) , namely, the damping is spatially increasing and effective. Our aim is to prove that the critical exponent is given by $$\begin{aligned} p = 1+ \frac{2}{N-\alpha }. \end{aligned}$$ This shows that the critical exponent is the same as that of the corresponding parabolic equation $$\begin{aligned} c(t,x) v_t - \Delta v = v ^p. \end{aligned}$$ The global existence part is proved by a weighted energy estimates with an exponential-type weight function and a special case of the Caffarelli–Kohn–Nirenberg inequality. The blow-up part is proved by a test-function method introduced by Ikeda and Sobajima [15]. We also give an upper estimate of the lifespan.
      PubDate: 2018-11-20
      DOI: 10.1007/s00030-018-0546-2
  • Symmetry-breaking bifurcation for the Moore–Nehari differential
    • Abstract: Abstract We study the bifurcation problem of positive solutions for the Moore-Nehari differential equation, \(u''+h(x,\lambda )u^p=0\) , \(u>0\) in \((-1,1)\) with \(u(-1)=u(1)=0\) , where \(p>1\) , \(h(x,\lambda )=0\) for \( x <\lambda \) and \(h(x,\lambda )=1\) for \(\lambda \le x \le 1\) and \(\lambda \in (0,1)\) is a bifurcation parameter. We shall show that the problem has a unique even positive solution \(U(x,\lambda )\) for each \(\lambda \in (0,1)\) . We shall prove that there exists a unique \(\lambda _*\in (0,1)\) such that a non-even positive solution bifurcates at \(\lambda _*\) from the curve \((\lambda , U(x,\lambda ))\) , where \(\lambda _*\) is explicitly represented as a function of p.
      PubDate: 2018-11-17
      DOI: 10.1007/s00030-018-0545-3
  • Nonlinear springs with dynamic frictionless contact
    • Abstract: Abstract This paper focuses on mathematical and numerical approaches to dynamic frictionless contact of nonlinear viscoelastic springs. This contact model is formulated by a nonlinear ordinary differential equation system and a pair of complementarity conditions. We propose three different numerical schemes in which each of them consists of several numerical methods. As a result, three groups of time-discrete numerical formulations are established. We use the coefficient of restitution to prove convergence of numerical trajectories, passing to the limit in the time step size. The Banach-fixed point theorem is applied to show the existence of global solutions satisfying all conditions. A new form of energy balance is derived, which is verified theoretically and numerically. All of the three schemes are implemented and their numerical results are compared with each other.
      PubDate: 2018-11-12
      DOI: 10.1007/s00030-018-0544-4
  • The concentration-compactness principle for fractional order Sobolev
           spaces in unbounded domains and applications to the generalized fractional
           Brezis–Nirenberg problem
    • Abstract: Abstract In this paper we extend the well-known concentration-compactness principle for the Fractional Laplacian operator in unbounded domains. As an application we show sufficient conditions for the existence of solutions to some critical equations involving the fractional p-Laplacian in the whole \({\mathbb {R}}^n\) .
      PubDate: 2018-10-19
      DOI: 10.1007/s00030-018-0543-5
  • On a dynamic boundary condition for singular degenerate parabolic
           equations in a half space
    • Abstract: Abstract We consider the initial value problem for a fully-nonlinear degenerate parabolic equation with a dynamic boundary condition in a half space. Our setting includes geometric equations with singularity such as the level-set mean curvature flow equation. We establish a comparison principle for a viscosity sub- and supersolution. We also prove existence of solutions and Lipschitz regularity of the unique solution. Moreover, relation to other types of boundary conditions is investigated by studying the asymptotic behavior of the solution with respect to a coefficient of the dynamic boundary condition.
      PubDate: 2018-10-13
      DOI: 10.1007/s00030-018-0542-6
  • Scalar reduction techniques for weakly coupled Hamilton–Jacobi
    • Abstract: Abstract We study a class of weakly coupled systems of Hamilton–Jacobi equations at the critical level. We associate to it a family of scalar discounted equation. Using control-theoretic techniques we construct an algorithm which allows obtaining a critical solution to the system as limit of a monotonic sequence of subsolutions. We moreover get a characterization of isolated points of the Aubry set and establish semiconcavity properties for critical subsolutions.
      PubDate: 2018-10-01
      DOI: 10.1007/s00030-018-0540-8
  • Stochastic vorticity equation in $$\mathbb R^2$$ R 2 with not regular
    • Abstract: Abstract We consider the Navier–Stokes equations in vorticity form in \(\mathbb {R}^2\) with a white noise forcing term of multiplicative type, whose spatial covariance is not regular enough to apply the Itô calculus in \(L^q\) spaces, \(1<q<\infty \) . We prove the existence of a unique strong (in the probability sense) solution.
      PubDate: 2018-09-28
      DOI: 10.1007/s00030-018-0541-7
  • An existence result for a constrained two-phase transition model with
           metastable phase for vehicular traffic
    • Abstract: Abstract In this paper we study a phase transition model for vehicular traffic flows. Two phases are taken into account, according to whether the traffic is light or heavy. We assume that the two phases have a non-empty intersection, the so called metastable phase. The model is given by the Lighthill–Whitham–Richards model in the free-flow phase and by the Aw–Rascle–Zhang model in the congested phase. In particular, we study the existence of solutions to Cauchy problems satisfying a local point constraint on the density flux. We prove that if the constraint F is higher than the minimal flux \(f_\mathrm{c}^-\) of the metastable phase, then constrained Cauchy problems with initial data of bounded total variation admit globally defined solutions. We also provide sufficient conditions on the initial data that guarantee the global existence of solutions also in the case \(F < f_\mathrm{c}^-\) . These results are obtained by applying the wave-front tracking technique.
      PubDate: 2018-09-18
      DOI: 10.1007/s00030-018-0539-1
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