Subjects -> MATHEMATICS (Total: 1028 journals)
    - APPLIED MATHEMATICS (92 journals)
    - GEOMETRY AND TOPOLOGY (23 journals)
    - MATHEMATICS (729 journals)
    - MATHEMATICS (GENERAL) (45 journals)
    - NUMERICAL ANALYSIS (26 journals)
    - PROBABILITIES AND MATH STATISTICS (113 journals)

MATHEMATICS (729 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 2)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 1)
Accounting Perspectives     Full-text available via subscription   (Followers: 4)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 13)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 5)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Hybrid Journal   (Followers: 38)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 2)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 2)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 5)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 8)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 5)
Advances in Catalysis     Full-text available via subscription   (Followers: 7)
Advances in Complex Systems     Hybrid Journal   (Followers: 10)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 20)
Advances in Decision Sciences     Open Access   (Followers: 4)
Advances in Difference Equations     Open Access   (Followers: 2)
Advances in Fixed Point Theory     Open Access  
Advances in Geosciences (ADGEO)     Open Access   (Followers: 19)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 9)
Advances in Materials Science     Open Access   (Followers: 19)
Advances in Mathematical Physics     Open Access   (Followers: 5)
Advances in Mathematics     Full-text available via subscription   (Followers: 18)
Advances in Numerical Analysis     Open Access   (Followers: 4)
Advances in Operations Research     Open Access   (Followers: 13)
Advances in Operator Theory     Hybrid Journal  
Advances in Pure Mathematics     Open Access   (Followers: 8)
Advances in Science and Research (ASR)     Open Access   (Followers: 8)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 7)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 5)
Afrika Matematika     Hybrid Journal   (Followers: 2)
Air, Soil & Water Research     Open Access   (Followers: 6)
AKSIOMATIK : Jurnal Penelitian Pendidikan dan Pembelajaran Matematika     Open Access  
Al-Jabar : Jurnal Pendidikan Matematika     Open Access  
Al-Qadisiyah Journal for Computer Science and Mathematics     Open Access   (Followers: 3)
AL-Rafidain Journal of Computer Sciences and Mathematics     Open Access   (Followers: 3)
Algebra and Logic     Hybrid Journal   (Followers: 7)
Algebra Colloquium     Hybrid Journal   (Followers: 1)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Open Access   (Followers: 5)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 8)
American Journal of Mathematical Analysis     Open Access   (Followers: 1)
American Journal of Mathematical and Management Sciences     Hybrid Journal  
American Journal of Mathematics     Full-text available via subscription   (Followers: 8)
American Journal of Operations Research     Open Access   (Followers: 7)
American Mathematical Monthly     Full-text available via subscription   (Followers: 3)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 12)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access  
Analysis and Applications     Hybrid Journal   (Followers: 2)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 9)
Anargya : Jurnal Ilmiah Pendidikan Matematika     Open Access  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 3)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 14)
Annals of Functional Analysis     Hybrid Journal   (Followers: 2)
Annals of Mathematics     Full-text available via subscription   (Followers: 3)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 16)
Annals of PDE     Hybrid Journal  
Annals of Pure and Applied Logic     Open Access   (Followers: 4)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access  
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access   (Followers: 1)
Annals of West University of Timisoara - Mathematics and Computer Science     Open Access   (Followers: 1)
Annuaire du Collège de France     Open Access   (Followers: 6)
ANZIAM Journal     Open Access   (Followers: 1)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 3)
Applications of Mathematics     Hybrid Journal   (Followers: 2)
Applied Categorical Structures     Hybrid Journal   (Followers: 3)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 16)
Applied Mathematics     Open Access   (Followers: 7)
Applied Mathematics     Open Access   (Followers: 6)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 10)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal   (Followers: 1)
Applied Mathematics and Nonlinear Sciences     Open Access  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 1)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access   (Followers: 2)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 4)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 5)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 1)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 3)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 4)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 5)
Arkiv för Matematik     Hybrid Journal  
Armenian Journal of Mathematics     Open Access  
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites     Open Access   (Followers: 19)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Research Journal of Mathematics     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 4)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Baltic International Yearbook of Cognition, Logic and Communication     Open Access   (Followers: 2)
Banach Journal of Mathematical Analysis     Hybrid Journal  
Basin Research     Hybrid Journal   (Followers: 6)
BIBECHANA     Open Access  
Biomath     Open Access  
BIT Numerical Mathematics     Hybrid Journal  
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription  
British Journal for the History of Mathematics     Hybrid Journal  
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 17)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 1)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 3)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 2)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of Symbolic Logic     Full-text available via subscription   (Followers: 3)
Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics     Open Access  
Bulletin of the Australian Mathematical Society     Full-text available via subscription   (Followers: 2)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the Iranian Mathematical Society     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 2)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Cadernos do IME : Série Matemática     Open Access  
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Mathematics / Journal canadien de mathématiques     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 20)
Canadian Mathematical Bulletin     Hybrid Journal  
Carpathian Mathematical Publications     Open Access  
Catalysis in Industry     Hybrid Journal  
CEAS Space Journal     Hybrid Journal   (Followers: 6)
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 1)
Chaos, Solitons & Fractals : X     Open Access   (Followers: 1)
ChemSusChem     Hybrid Journal   (Followers: 7)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Ciencia     Open Access  
CODEE Journal     Open Access  
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 2)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Hybrid Journal   (Followers: 3)
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 18)
Commentarii Mathematici Helvetici     Hybrid Journal  
Communications in Advanced Mathematical Sciences     Open Access  
Communications in Combinatorics and Optimization     Open Access  
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 2)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 5)
Complex Analysis and its Synergies     Open Access   (Followers: 2)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Compositio Mathematica     Full-text available via subscription  
Comptes Rendus : Mathematique     Open Access  
Computational and Applied Mathematics     Hybrid Journal   (Followers: 3)
Computational and Mathematical Methods     Hybrid Journal  
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 1)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 11)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 9)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 8)
Confluentes Mathematici     Hybrid Journal  
Constructive Mathematical Analysis     Open Access  
Contributions to Discrete Mathematics     Open Access  
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal   (Followers: 1)
Cross Section     Full-text available via subscription   (Followers: 1)
Cryptography and Communications     Hybrid Journal   (Followers: 10)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Current Research in Biostatistics     Open Access   (Followers: 8)
Czechoslovak Mathematical Journal     Hybrid Journal  
Daya Matematis : Jurnal Inovasi Pendidikan Matematika     Open Access  
Demographic Research     Open Access   (Followers: 14)
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 33)
Desimal : Jurnal Matematika     Open Access  
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 2)
Differentsial'nye Uravneniya     Open Access  
Digital Experiences in Mathematics Education     Hybrid Journal   (Followers: 2)
Discrete Mathematics     Hybrid Journal   (Followers: 8)
Discrete Mathematics & Theoretical Computer Science     Open Access   (Followers: 1)
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae - General Algebra and Applications     Open Access  
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Diskretnaya Matematika     Full-text available via subscription  
Doklady Akademii Nauk     Open Access  
Doklady Mathematics     Hybrid Journal  
Eco Matemático     Open Access  

        1 2 3 4 | Last

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Bollettino dell'Unione Matematica Italiana
Journal Prestige (SJR): 0.676
Citation Impact (citeScore): 1
Number of Followers: 0  
 
  Full-text available via subscription Subscription journal
ISSN (Print) 1972-6724 - ISSN (Online) 2198-2759
Published by Springer-Verlag Homepage  [2484 journals]
  • The ARA transform in quantum calculus and its applications

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      Abstract: In this paper, we introduce the concept of ARA transform in q-calculus namely q-ARA transform and establish some properties. Furthermore, several propositions concerned with the properties of q-ARA transform are explored. We also give some applications of q-ARA transform for solving some ordinary and partial differential equations with initial and boundary values problems.
      PubDate: 2022-01-12
       
  • On graded coherent-like properties in trivial ring extensions

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      Abstract: Let \(A=\oplus _{\alpha \in G}A_{\alpha }\) be a commutative ring with unity graded by an arbitrary grading commutative monoid G, E be a graded A-module and \(R=A\propto E\) the graded trivial extension. In this paper, in the second section, we improve some results on graded trivial extension and we give some new ones and the theme throughout is how homogeneous properties are related to those of A and E. Then, in another section, we introduce and study the notions of graded-v-coherent, graded-quasi-coherent and graded-finite conductor rings, then we study their transfer in the graded trivial extension.
      PubDate: 2022-01-07
       
  • New results on abstract elliptic problems with general Robin boundary
           conditions in Hölder spaces: non commutative cases

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      Abstract: In this paper, we prove some new results on operational second order differential equations of elliptic type with general Robin boundary conditions in a non-commutative framework. The study is developed in Hölder spaces under some natural assumptions generalizing those in [4]. We give necessary and sufficient conditions on the data to obtain a unique strict solution satisfying the maximal regularity property, see Theorems 1 and 2. This work completes the one given in [4] and [12].
      PubDate: 2022-01-04
       
  • High order singular value decomposition for plant diversity estimation

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      Abstract: We propose a new method to estimate plant diversity with Rényi and Rao indexes through the so called High Order Singular Value Decomposition (HOSVD) of tensors. Starting from NASA multi-spectral images we evaluate diversity and we compare original diversity estimates with those realized via the HOSVD compression methods for big data. Our strategy turns out to be extremely powerful in terms of memory storage and precision of the outcome. The obtained results are so promising that we can support the efficiency of our method in the ecological framework.
      PubDate: 2021-12-01
       
  • On the Fourier transform of functions from the classes $$H_p^\alpha
           ({{\mathbb {R}}})$$ H p α ( R )

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      Abstract: Let a function f belongs to the Lebesgue class \(L^p({{\mathbb {R}}})\) , \(1\le p\le 2\) , and let \({\widehat{f}}\) be the Fourier transform of f. The classical theorem of E. Titchmarsh states that if the function f belongs to the Lipschitz class \(Lip(\alpha ,p; {{\mathbb {R}}})\) , \(0<\alpha \le 1\) , then \({{\widehat{f}}}\) belongs to the Lebesgue classes \(L^r({{\mathbb {R}}})\) for \(\frac{p}{p+\alpha p-1}< r\le \frac{p}{p-1}\) . In this paper we generalize this result for the case when the function f belongs to the Nikol’skiĭ  class \(H_p^\alpha ({{\mathbb {R}}})\) , \(1\le p\le 2\) , \(\alpha >0\) .
      PubDate: 2021-12-01
       
  • Fixed point theorems for monotone orbitally nonexpansive type mappings in
           partially ordered hyperbolic metric spaces

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      Abstract: We present a number of existence results for some general classes of monotone nonexpansive mappings in partially ordered hyperbolic metric spaces. We also give some examples to show the generality of the mappings considered herein.
      PubDate: 2021-11-23
       
  • Characterization on transcendental entire solutions of certain types of
           non-linear generalized delay-differential equations

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      Abstract: In this paper, we study on the existence of transcendental entire solutions of certain non-linear generalized delay-differential equations. In this respect we have improved a recent result of Wang et al. (Turk J Math 43:941–954, 2019). Also at the time of investigating the solutions of shift equations we have improved as well as extended an earlier result due to Latreuch (Mediterr J Math 14:1–16, 2017). A handful number of examples have been exhibited by us relevant to the content of the paper to show that each case as demonstrated in the conclusions of the theorems actually occurs. At last we raise a question for future investigations.
      PubDate: 2021-11-09
       
  • A complexity of compact 3-manifolds via immersed surfaces

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      Abstract: We generalise the surface-complexity of closed 3-manifolds to the compact case. This generalisation preserves the (natural generalisation of the) properties holding in the closed case: the surface-complexity on compact 3-manifolds is a natural number measuring how much the manifolds are complicated, it is subadditive under connected sum and it is finite-to-one on \(\mathbb {P}^2\) -irreducible and boundary-irreducible manifolds without essential annuli and Möbius strips. Moreover, for these manifolds, it equals the minimal number of cubes in an ideal cubulation of the manifold, except for a finite number of cases. We will also give estimations of the surface-complexity by means of ideal triangulations and Matveev complexity.
      PubDate: 2021-09-27
      DOI: 10.1007/s40574-021-00308-2
       
  • Views on level $$\ell $$ ℓ curves, K3 surfaces and Fano threefolds

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      Abstract: An analogue of the Mukai map \(m_g: {\mathcal {P}}_g \rightarrow {\mathcal {M}}_g\) is studied for the moduli \({\mathcal {R}}_{g, \ell }\) of genus g curves C with a level \(\ell \) structure. Let \({\mathcal {P}}^{\perp }_{g, \ell }\) be the moduli space of 4-tuples \((S, {\mathcal {L}}, {\mathcal {E}}, C)\) so that \((S, {\mathcal {L}})\) is a polarized K3 surface of genus g, \({\mathcal {E}}\) is orthogonal to \({\mathcal {L}}\) in \({{\,\mathrm{Pic}\,}}S\) and defines a standard degree \(\ell \) K3 cyclic cover of S, \(C \in \vert {\mathcal {L}} \vert \) . We say that \((S, {\mathcal {L}}, {\mathcal {E}})\) is a level \(\ell \) K3 surface. These exist for \(\ell \le 8\) and their families are known. We define a level \(\ell \) Mukai map \(r_{g, \ell }: {\mathcal {P}}^{\perp }_{g, \ell } \rightarrow {\mathcal {R}}_{g, \ell }\) , induced by the assignment of \((S, {\mathcal {L}}, {\mathcal {E}}, C)\) to \( (C, {\mathcal {E}} \otimes {\mathcal {O}}_C)\) . We investigate a curious possible analogy between \(m_g\) and \(r_{g, \ell }\) , that is, the failure of the maximal rank of \(r_{g, \ell }\) for \(g = g_{\ell } \pm 1\) , where \(g_{\ell }\) is the value of g such that \(\dim {\mathcal {P}}^{\perp }_{g, \ell } = \dim {\mathcal {R}}_{g,\ell }\) . This is proven here for \(\ell = 3\) . As a related open problem we discuss Fano threefolds whose hyperplane sections are level \(\ell \) K3 surfaces and their classification.
      PubDate: 2021-09-21
      DOI: 10.1007/s40574-021-00306-4
       
  • Some generalizations of A-numerical radius inequalities for semi-Hilbert
           space operators

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      Abstract: Let A be a positive bounded linear operator on a Hilbert space \(\left( { {\mathscr {H}}},\left\langle .,.\right\rangle \right) \) . The semi-inner product \(\left\langle x,y\right\rangle _{A}:=\left\langle Ax,y\right\rangle \) , x, y \(\in \) \({{\mathscr {H}}}\) , induces a semi-norm \(\left\ .\right\ _{A}\) on \({{\mathscr {H}}}\) . Let \(\omega _{A}\) \(\left( T\right) \) denote the A -numerical radius of an operator T in semi-Hilbertian space \(\left( { {\mathscr {H}}},\left\ .\right\ _{A}\right) \) . Our aim in this paper is to give new inequalities of A-numerical radius of operators in semi-Hilbertian spaces. In particular, we show that $$\begin{aligned} \omega _{A}^{n}\left( T\right) \le \frac{1}{2^{n-1}}\omega _{A}\left( T^{n}\right) +\left\ T\right\ _{A}\displaystyle \sum _{p=1}^{n-1}\frac{ 1}{2^{p}}\omega _{A}^{n-p-1}\left( T\right) \left\ T^{p}\right\ _{A}, \end{aligned}$$ for all \(n=2,3,\ldots \) Further, an extension of some inequalities of bounded linear operators on a Hilbert space due to Dragomir (Inequalities for the numerical radius of linear operators in Hilbert spaces. Springer briefs in mathematics, Springer, Berlin, 2013; Tamkang J Math 39(1):1–7, 2008) and Kittaneh et al. (Linear Algebra Appl 471:46–53, 2015) are proved on a semi-Hilbert space and some more related results are also obtained.
      PubDate: 2021-09-20
      DOI: 10.1007/s40574-021-00307-3
       
  • Generic vanishing in characteristic $$p&gt;0$$ p &gt; 0 and the
           geometry of theta divisors

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      Abstract: In this paper, we prove a strengthening of the generic vanishing result in characteristic \(p>0\) given in Hacon and Patakfalvi (Am J Math 138(4):963–998, 2016). As a consequence of this result, we show that irreducible \(\Theta \) divisors are strongly F-regular and we prove a related result for pluri-theta divisors.
      PubDate: 2021-09-06
      DOI: 10.1007/s40574-021-00304-6
       
  • When weak-injective modules decompose like injectives

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      Abstract: The aim of this note is to find those commutative rings over which an exact analogue of the structure theory of injective modules over commutative noetherian rings holds for weak-injective modules, i.e. for modules M satisfying \(\mathop {\mathrm{Ext}}\nolimits _R^1(A,M)=0\) for all modules A of weak dimension \(\le 1\) . We will show that, surprisingly, but a very few commutative rings R possess the property that their weak-injective modules admit (up to isomorphism) unique decompositions into direct sums of indecomposable modules each of which is the injective or the weak-injective envelope of a cyclic module of the form \(R/{\mathsf {p}} \) with a prime ideal \({\mathsf {p}} \) .
      PubDate: 2021-09-01
      DOI: 10.1007/s40574-021-00283-8
       
  • Green’s function for the anisotropic hyperbolic heat equation in bounded
           spatial and temporal domains

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      Abstract: We study the regularity properties of Green’s function \(G_T({\mathbf {x}},t {\mathbf {x}}_0,t_0)\) associated to Robin’s problem for a class of second order operators on \(\Omega \times ]-T,T[,\) \(\Omega \subset {\mathbb {R}}^n\) a bounded open set with regular boundary, including the hyperbolic heat equation for anisotropic non homogeneous bodies with constant thermal properties as a particular case. We show that for every source point \(({\mathbf {x}}_0,t_0)\) and every \(k\in {\mathbb {N}}\) there is an open set \({\mathcal {O}}_k\subset \Omega \times ]-T,T[\) such that \(G_T({\mathbf {x}},t {\mathbf {x}}_0,t_0)\) is k times differentiable with continuity on \({\mathcal {O}}_k\) and \(\mu \bigl ((\Omega \times ]-T,T[)\backslash {\mathcal {O}}_k\bigr )=0.\)
      PubDate: 2021-09-01
      DOI: 10.1007/s40574-020-00264-3
       
  • Local singular characteristics on $$\mathbb {R}^2$$ R 2

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      Abstract: The singular set of a viscosity solution to a Hamilton–Jacobi equation is known to propagate, from any noncritical singular point, along singular characteristics which are curves satisfying certain differential inclusions. In the literature, different notions of singular characteristics were introduced. However, a general uniqueness criterion for singular characteristics, not restricted to mechanical systems or problems in one space dimension, is missing at the moment. In this paper, we prove that, for a Tonelli Hamiltonian on \(\mathbb {R}^2\) , two different notions of singular characteristics coincide up to a bi-Lipschitz reparameterization. As a significant consequence, we obtain a uniqueness result for the class of singular characteristics that was introduced by Khanin and Sobolevski in the paper [On dynamics of Lagrangian trajectories for Hamilton-Jacobi equations. Arch. Ration. Mech. Anal., 219(2):861–885, 2016].
      PubDate: 2021-09-01
      DOI: 10.1007/s40574-021-00279-4
       
  • A note on the Krull dimension of rings between D[X] and $$\mathrm
           {Int}(D)$$ Int ( D )

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      Abstract: Let D be an integral domain with quotient field K and X an indeterminate over K. The set \(\mathrm {Int}(D):=\{f\in K[X]: f(D)\subseteq D\}\) , of integer-valued polynomials over D, is known to be a ring. The purpose of this note is to calculate the Krull dimension of rings between D[X] and \(\mathrm {Int}(D)\) when D is either locally essential or t-locally Noetherian. By the way, we find a problem in the proof of the first main result of Fontana and Kabbaj (Proc Am Math Soc 132:2529–2535) and then we will recover it. Also, we give some examples to illustrate our main result.
      PubDate: 2021-09-01
      DOI: 10.1007/s40574-021-00281-w
       
  • Primary decomposition in incomplete Noetherian algebras

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      Abstract: We show that in a noetherian commutative unital topological algebra, the prime ideals associated with a closed ideal as well as its isolated primary components are closed. We obtain a version of the closed graph theorem. An example of a noetherian (even principal) commutative unital semi-simple and incomplete normed algebra whose each ideal is closed is also given.
      PubDate: 2021-09-01
      DOI: 10.1007/s40574-020-00274-1
       
  • Well-posedness result for the Kuramoto–Velarde equation

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      Abstract: The Kuramoto–Velarde equation describes slow space-time variations of disturbances at interfaces, diffusion–reaction fronts and plasma instability fronts. It also describes Benard–Marangoni cells that occur when there is large surface tension on the interface in a microgravity environment. Under appropriate assumption on the initial data, of the time T, and the coefficients of such equation, we prove the well-posedness of the classical solutions for the Cauchy problem, associated with this equation.
      PubDate: 2021-07-20
      DOI: 10.1007/s40574-021-00303-7
       
  • Norm and numerical radius inequalities for sum of operators

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      Abstract: In this paper, we present several numerical radius and norm inequalities for sum of Hilbert space operators. These inequalities improve some earlier related inequalities. For an operator T ∈ B(H), we prove that $$ {\omega}^{2} \left( T \right) \le \frac{1}{2}\omega \left( {T^{2} } \right) + \frac{1}{{2\sqrt 2 }}\omega \left( {\left T \right ^{2} + i\left {T^{\ast} } \right ^{2} } \right) .$$
      PubDate: 2021-07-07
      DOI: 10.1007/s40574-021-00289-2
       
  • On transfer homomorphisms of Krull monoids

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      Abstract: Every Krull monoid has a transfer homomorphism onto a monoid of zero-sum sequences over a subset of its class group. This transfer homomorphism is a crucial tool for studying the arithmetic of Krull monoids. In the present paper, we strengthen and refine this tool for Krull monoids with finitely generated class group.
      PubDate: 2021-06-28
      DOI: 10.1007/s40574-021-00301-9
       
  • A conjectural improvement for inequalities related to regulators of number
           fields

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      Abstract: An inequality proved firstly by Remak and then generalized by Friedman shows that there are only finitely many number fields with a fixed signature and whose regulator is less than a prescribed bound. Using this inequality, Astudillo, Diaz y Diaz, Friedman and Ramirez-Raposo succeeded to detect all fields with small regulators having degree less or equal than 7. In this paper we show that a certain upper bound for a suitable polynomial, if true, can improve Remak–Friedman’s inequality and allows a classification for some signatures in degree 8 and better results in degree 5 and 7. The validity of the conjectured upper bound is extensively discussed.
      PubDate: 2021-06-22
      DOI: 10.1007/s40574-021-00298-1
       
 
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