Backward solutions to Neumann and Dirichlet problems of heat-conduction equation

被引：6

作者：

Li, Fushan ^{[1
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 210卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Backward solutions; Heat equation; Energy method; Convex function;

D O I：

10.1016/j.amc.2008.12.077

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Applying energy methods, we show the backward uniqueness in time for solutions to Neumann and Dirichlet problems of heat-conduction equations and give reasonable physical interpretation for our conclusion. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：211 / 214

页数：4

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[41] GENERALIZATION OF GIBBS EQUATION FOR HEAT-CONDUCTION
LAMBERMONT, J
LEBON, G
[J]. PHYSICS LETTERS A, 1973, A 42 (07) : 499 - 500
[42] UNIQUENESS OF SOLUTIONS OF DIRICHLET AND NEUMANN PROBLEMS FOR A SINGULAR HYPERBOLIC EQUATION - PRELIMINARY REPORT
YOUNG, EC
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (01): : 164 - &
[43] BOUNDS OF SOLUTIONS OF SOME NONLINEAR NONMONOTONE PROBLEMS FOR THE HEAT-CONDUCTION EQUATIONS
AKSENOV, BG
[J]. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1993, 33 (06) : 783 - 793
[44] HEAT-CONDUCTION PROBLEMS WITH MELTING OR FREEZING
CHO, SH
SUNDERLA.JE
[J]. JOURNAL OF HEAT TRANSFER, 1969, 91 (03): : 421 - +
[45] VARIATIONAL FORMULATIONS FOR HEAT-CONDUCTION PROBLEMS
KERAMIDAS, GA
TING, EC
[J]. JOURNAL OF APPLIED PHYSICS, 1979, 50 (02) : 673 - 678
[46] IMPROVEMENTS ON APPROXIMATE SOLUTIONS IN HEAT-CONDUCTION
BOLEY, BA
ESTENSSORO, L
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[47] SOLUTIONS OF NONLINEAR NONHOMOGENEOUS NEUMANN AND DIRICHLET PROBLEMS
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