The Dirichlet problem associated to the relativistic heat equation

被引:28
|
作者
Andreu, Fuensanta [1 ]
Caselles, Vicent [2 ]
Mazon, Jose M. [1 ]
Moll, Salvador [1 ]
机构
[1] Univ Valencia, Dept Anal Matemat, E-46100 Burjassot, Spain
[2] Univ Pompeu Fabra, Dept Tecnol, Barcelona, Spain
关键词
QUASI-LINEAR EQUATION; FUNCTIONALS;
D O I
10.1007/s00208-009-0428-3
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove existence and uniqueness of entropy solutions for the nonhomogeneous Dirichlet problem associated to the relativistic heat equation.
引用
收藏
页码:135 / 199
页数:65
相关论文
共 50 条
  • [1] The Dirichlet problem associated to the relativistic heat equation
    Fuensanta Andreu
    Vicent Caselles
    Jose M. Mazón
    Salvador Moll
    Mathematische Annalen, 2010, 347 : 135 - 199
  • [2] Erratum to: The Dirichlet problem associated to the relativistic heat equation
    Fuensanta Andreu
    Vicent Caselles
    Jose M. Mazón
    Salvador Moll
    Mathematische Annalen, 2015, 362 : 1379 - 1393
  • [3] The Dirichlet problem associated to the relativistic heat equation (vol 347, pg 135, 2010)
    Andreu, Fuensanta
    Caselles, Vicent
    Mazon, Jose M.
    Moll, Salvador
    MATHEMATISCHE ANNALEN, 2015, 362 (3-4) : 1379 - 1393
  • [4] Positive Classical Solutions of Dirichlet Problem for the Steady Relativistic Heat Equation
    Tianjie Yang
    Guangwei Yuan
    Acta Mathematica Scientia, 2023, 43 : 2279 - 2290
  • [5] POSITIVE CLASSICAL SOLUTIONS OF DIRICHLET PROBLEM FOR THE STEADY RELATIVISTIC HEAT EQUATION
    杨田洁
    袁光伟
    Acta Mathematica Scientia, 2023, (05) : 2279 - 2290
  • [6] POSITIVE CLASSICAL SOLUTIONS OF DIRICHLET PROBLEM FOR THE STEADY RELATIVISTIC HEAT EQUATION
    杨田洁
    袁光伟
    Acta Mathematica Scientia, 2023, 43 (05) : 2279 - 2290
  • [7] Positive Classical Solutions of Dirichlet Problem for the Steady Relativistic Heat Equation
    Yang, Tianjie
    Yuan, Guangwei
    ACTA MATHEMATICA SCIENTIA, 2023, 43 (05) : 2279 - 2290
  • [8] DIRICHLET PROBLEM FOR HEAT EQUATION
    EFFROS, EG
    KAZDAN, JL
    INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1971, 20 (08) : 683 - &
  • [9] ON CAUCHYS PROBLEM FOR RELATIVISTIC EQUATION OF HEAT
    BANCEL, D
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1970, 270 (14): : 918 - &
  • [10] On a solution of the fuzzy Dirichlet problem for the heat equation
    Gasilov, N. A.
    Amrahov, S. Emrah
    Fatullayev, A. G.
    INTERNATIONAL JOURNAL OF THERMAL SCIENCES, 2016, 103 : 67 - 76