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

来源：

MATHEMATISCHE ANNALEN | 2010年 / 347卷 / 01期

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

页码：135 / 199

页数：65

共 50 条

[41] Vestimates for a solution to the dirichlet problem and to the neumann problem for the heat equation in a wedge with edge of arbitrary codimension
Nazarov A.I.
Journal of Mathematical Sciences, 2001, 106 (3) : 2989 - 3014
[42] ON THE ASYMPTOTICS OF THE HEAT-EQUATION AND BOUNDS ON TRACES ASSOCIATED WITH THE DIRICHLET LAPLACIAN
VANDENBERG, M
JOURNAL OF FUNCTIONAL ANALYSIS, 1987, 71 (02) : 279 - 293
[43] About Dirichlet boundary value problem for the heat equation in the infinite angular domain
Muvasharkhan he Jenaliyev
Meiramkul Amangaliyeva
Minzilya Kosmakova
Murat Ramazanov
Boundary Value Problems, 2014
[44] About Dirichlet boundary value problem for the heat equation in the infinite angular domain
Jenaliyev, Muvasharkhan He
Amangaliyeva, Meiramkul
Kosmakova, Minzilya
Ramazanov, Murat
BOUNDARY VALUE PROBLEMS, 2014, : 1 - 21
[45] A sharp error estimate for the numerical solution of multivariate Dirichlet problem for the heat equation
Anastassiou, GA
Bendikov, A
STOCHASTIC ANALYSIS AND APPLICATIONS, 2001, 19 (03) : 343 - 360
[46] NECESSARY AND SUFFICIENT CONDITIONS FOR REGULARITY OF BOUND IN DIRICHLET PROBLEM FOR HEAT CONDUCTION EQUATION
LANDIS, EM
DOKLADY AKADEMII NAUK SSSR, 1969, 185 (03): : 517 - &
[47] Convergence of the 'relativistic' heat equation to the heat equation as c → ∞
Caselles, V.
PUBLICACIONS MATEMATIQUES, 2007, 51 (01) : 121 - 142
[48] On the Dirichlet problem for a nonlinear elliptic equation
Egorov, Yu. V.
SBORNIK MATHEMATICS, 2015, 206 (04) : 480 - 488
[49] The Dirichlet Problem for the Perturbed Elliptic Equation
Yarka, Ulyana
Fedushko, Solomiia
Vesely, Peter
MATHEMATICS, 2020, 8 (12) : 1 - 14
[50] ON THE DIRICHLET PROBLEM FOR AN IMPROPERLY ELLIPTIC EQUATION
Burskii, V. P.
Kirichenko, E. V.
UKRAINIAN MATHEMATICAL JOURNAL, 2011, 63 (02) : 187 - 195

← 1 2 3 4 5 →