Uniqueness and stability in determining the heat radiative coefficient, the initial temperature and a boundary coefficient in a parabolic equation

被引：17

作者：

Choulli, Mourad ^{[1
,2
]}

Yamamoto, Masahiro ^{[3
]}

机构：

[1] Univ Metz, Lab LMAM, UMR 7122, F-57045 Metz, France

[2] CNRS, F-57045 Metz, France

[3] Univ Tokyo, Grad Sch Math Sci, Tokyo 1538914, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 11期

关键词：

Inverse parabolic problem; Heat radiative coefficient; Initial temperature; Boundary coefficient;

D O I：

10.1016/j.na.2007.10.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider an inverse parabolic problem. We prove that the heat radiative coefficient, the initial temperature and a boundary coefficient can be simultaneously determined from the final overdetermination, provided that the heat radiative coefficient is a priori known in a small subdomain. Moreover we establish a stability estimate for this inverse problem. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：3983 / 3998

页数：16

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