An inverse parabolic problem with non-zero initial condition

被引：35

作者：

Choulli, M ^{[1
]}

Yamamoto, M ^{[1
]}

机构：

[1] UNIV TOKYO,DEPT MATH SCI,MEGURO KU,TOKYO 153,JAPAN

来源：

INVERSE PROBLEMS | 1997年 / 13卷 / 01期

关键词：

D O I：

10.1088/0266-5611/13/1/003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the inverse problem of recovering the coefficient q(x), appearing in an initial-boundary value problem for the equation partial derivative,u = Delta u + q(x)u, from overdetermined final data. We prove, under some conditions, that this inverse problem is locally well-posed in L(2) around 0 when q is assumed to be a priori supported in some suitable subset.

引用

页码：19 / 27

页数：9

共 14 条

[1]

Adams A, 2003, SOBOLEV SPACES

[2] Generic well-posedness of an inverse parabolic problem - The Holder-space approach [J].