On the determination of an unknown boundary function in a parabolic equation

被引：10

作者：

Choulli, M ^{[1
]}

机构：

[1] Univ Metz, Dept Math, F-57045 Metz 01, France

来源：

INVERSE PROBLEMS | 1999年 / 15卷 / 03期

关键词：

D O I：

10.1088/0266-5611/15/3/302

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the determination of an unknown boundary function in an initial-boundary value problem for the heat equation. We prove two uniqueness results. In the first one we consider the case of all measurements on a part of the lateral boundary. The second result concerns the case of a single overdetermined datum. Our tools are differentiation with respect to the boundary data and monotonicity estimates that we derive from the maximum principle.

引用

页码：659 / 667

页数：9

共 7 条

[1]

CHOULLI M, 1992, CR ACAD SCI I-MATH, V315, P1051

[2] UNICITY IN AN INVERSE PROBLEM FOR AN UNKNOWN REACTION TERM IN A REACTION DIFFUSION EQUATION [J].