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

[21] Asymptotic Solutions of the Dirichlet Problem for the Heat Equation at a Characteristic Point
Antoniouk, A. Vict.
Kiselev, O. M.
Tarkhanov, N. N.
UKRAINIAN MATHEMATICAL JOURNAL, 2015, 66 (10) : 1455 - 1474
[22] ASYMPTOTIC ANALYSIS OF A DIRICHLET PROBLEM FOR THE HEAT EQUATION ON A COATED BODY
Li, Jingyu
Rosencrans, Steve
Wang, Xuefeng
Zhang, Kaijun
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 137 (05) : 1711 - 1721
[23] ON A NONLINEAR HEAT EQUATION ASSOCIATED WITH DIRICHLET-ROBIN CONDITIONS
Le Thi Phuong Ngoc
Nguyen Van Y
Alain Pham Ngoc Dinh
Nguyen Thanh Long
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2012, 33 (02) : 166 - 189
[24] DIRICHLET PROBLEM OF HEAT-EQUATION FOR C2 DOMAINS
KAUFMAN, R
WU, JM
JOURNAL OF DIFFERENTIAL EQUATIONS, 1989, 80 (01) : 14 - 31
[25] Necessary and sufficient conditions for the stabilization of the solution to the dirichlet problem for the heat equation
V. N. Denisov
Doklady Mathematics, 2006, 73 : 193 - 196
[26] On numerical solution to the Cauchy-Dirichlet problem for the heat equation.
Kozhevnikov, Alexander N.
IMECS 2007: International Multiconference of Engineers and Computer Scientists, Vols I and II, 2007, : 605 - 608
[27] PARABOLIC MEASURE AND THE DIRICHLET PROBLEM FOR THE HEAT-EQUATION IN 2 DIMENSIONS
LEWIS, JL
SILVER, J
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1988, 37 (04) : 801 - 839
[28] The Dirichlet-conormal problem for the heat equation with inhomogeneous boundary conditions
Dong, Hongjie
Li, Zongyuan
ADVANCES IN MATHEMATICS, 2022, 411
[29] AN LQ PROBLEM FOR THE HEAT EQUATION ON THE HALFLINE WITH DIRICHLET BOUNDARY CONTROL AND NOISE
Fabbri, G.
Goldys, B.
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2009, 48 (03) : 1473 - 1488
[30] Lp-estimates of solutions of the Dirichlet problem for the heat equation in a ball
Alkhutov Yu.A.
Journal of Mathematical Sciences, 2007, 142 (3) : 2021 - 2032

← 1 2 3 4 5 →