The heat equation with inhomogeneous Dirichlet boundary conditions

被引：15

作者：

van den Berg, M ^{[1
]}

Gilkey, PB ^{[1
]}

机构：

[1] Univ Bristol, Bristol BS8 1TW, Avon, England

来源：

COMMUNICATIONS IN ANALYSIS AND GEOMETRY | 1999年 / 7卷 / 02期

关键词：

D O I：

10.4310/CAG.1999.v7.n2.a3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish the existence of an asymptotic expansion for the heat content asymptotics with inhomogeneous Dirichlet boundary conditions and compute the first 5 coefficients in the asymptotic expansion.

引用

页码：279 / 294

页数：16

共 50 条

[1] The Dirichlet-conormal problem for the heat equation with inhomogeneous boundary conditions
Dong, Hongjie
Li, Zongyuan
[J]. ADVANCES IN MATHEMATICS, 2022, 411
[2] Heat content asymptotics with inhomogeneous Neumann and Dirichlet boundary conditions
Van den Berg, M
Gilkey, P
[J]. POTENTIAL ANALYSIS, 2001, 14 (03) : 269 - 274
[3] Heat Content Asymptotics with Inhomogeneous Neumann and Dirichlet Boundary Conditions
M. van den Berg
P. Gilkey
[J]. Potential Analysis, 2001, 14 : 269 - 274
[4] KLEIN-GORDON EQUATION WITH CRITICAL NONLINEARITY AND INHOMOGENEOUS DIRICHLET BOUNDARY CONDITIONS
Naumkin, I. P.
[J]. DIFFERENTIAL AND INTEGRAL EQUATIONS, 2016, 29 (1-2) : 55 - 92
[5] Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions
Carmen Cortazar
Manuel Elgueta
Julio D. Rossi
[J]. Israel Journal of Mathematics, 2009, 170 : 53 - 60
[6] Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions
Cortazar, Carmen
Elgueta, Manuel
Rossi, Julio D.
[J]. ISRAEL JOURNAL OF MATHEMATICS, 2009, 170 (01) : 53 - 60
[7] Refined Asymptotics for the Infinite Heat Equation with Homogeneous Dirichlet Boundary Conditions
Laurencot, Philippe
Stinner, Christian
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2011, 36 (03) : 532 - 546
[8] Quenching for semidiscretizations of a semilinear heat equation with Dirichlet and Neumann boundary conditions
Nabongo, Diabate
Boni, Theodore K.
[J]. COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2008, 49 (03): : 463 - 475
[9] Nonlinear Schrodinger equation with inhomogeneous Dirichlet boundary data
Bu, C
Tsutaya, K
Zhang, CY
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2005, 46 (08)
[10] Iterative Solution of a Retrospective Inverse Heat Conduction Problem with Inhomogeneous Dirichlet Boundary Conditions
Vasil’ev V.I.
Kardashevsky A.M.
Popov V.V.
[J]. Journal of Applied and Industrial Mathematics, 2022, 16 (04) : 841 - 852

← 1 2 3 4 5 →