A Counterexample about the Regularity of the Solutions of the Hyperbolic Heat Equation

被引:0
|
作者
J. A. López Molina
机构
[1] Universidad Politécnica,E. T. S. Ingeniería Agronómica y del Medio Natural, Instituto de Matemática Pura y Aplicada
来源
Mediterranean Journal of Mathematics | 2016年 / 13卷
关键词
Sobolev spaces; Bessel functions; Laplace transform; Hyperbolic heat equation; Primary 35Q99; 80A20; Secondary 46N20; 46F99;
D O I
暂无
中图分类号
学科分类号
摘要
We give an example of a fundamental solution of the Neumann problem for the hyperbolic heat equation in a disk D which is not in L2(D ×]0,T[) whatever be T > 0.
引用
收藏
页码:1725 / 1751
页数:26
相关论文
共 50 条
  • [31] On the regularity of solutions to Poisson's equation
    Garg, Rahul
    Spector, Daniel
    COMPTES RENDUS MATHEMATIQUE, 2015, 353 (09) : 819 - 823
  • [32] Improving regularity of solutions of a difference equation
    Witold Jarczyk
    Aequationes mathematicae, 2015, 89 : 383 - 391
  • [33] Low regularity solutions for linearly degenerate hyperbolic systems
    Zhou, Yi
    Nonlinear Analysis, Theory, Methods and Applications, 1996, 26 (11): : 1843 - 1857
  • [34] EXISTENCE AND REGULARITY OF SOLUTIONS FOR HYPERBOLIC FUNCTIONAL DIFFERENTIAL PROBLEMS
    Kamont, Zdzislaw
    OPUSCULA MATHEMATICA, 2014, 34 (02) : 217 - 242
  • [35] Boundary regularity for the fractional heat equation
    Fernandez-Real, Xavier
    Ros-Oton, Xavier
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2016, 110 (01) : 49 - 64
  • [36] Parabolic Besov Regularity for the Heat Equation
    Aimar, Hugo
    Gomez, Ivana
    CONSTRUCTIVE APPROXIMATION, 2012, 36 (01) : 145 - 159
  • [37] Time regularity of the solutions to second order hyperbolic equations
    Kinoshita, Tamotu
    Taglialatela, Giovanni
    ARKIV FOR MATEMATIK, 2011, 49 (01): : 109 - 127
  • [38] Parabolic Besov Regularity for the Heat Equation
    Hugo Aimar
    Ivana Gómez
    Constructive Approximation, 2012, 36 : 145 - 159
  • [39] Regularity of the density for the stochastic heat equation
    Mueller, Carl
    Nualart, David
    ELECTRONIC JOURNAL OF PROBABILITY, 2008, 13 : 2248 - 2258
  • [40] Boundary regularity for the fractional heat equation
    Xavier Fernández-Real
    Xavier Ros-Oton
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2016, 110 : 49 - 64