Carleman estimates for the one-dimensional heat equation with a discontinuous coefficient, and applications

被引：9

作者：

Benabdallah, Assia ^{[1
]}

Dermenjian, Yves ^{[1
]}

Le Rousseau, Jerome ^{[1
]}

机构：

[1] Univ Aix Marseille 1, CNRS, UMR 6632, Lab Anal Topol Probabilites, F-13453 Marseille, France

来源：

COMPTES RENDUS MECANIQUE | 2006年 / 334卷 / 10期

关键词：

control; Carleman estimate; non-smooth coefficients; parabolic equations; inverse problem;

D O I：

10.1016/j.crme.2006.07.001

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We study the observability and some of its consequences for the one-dimensional heat equation with a discontinuous coefficient (piecewise C-1). The observability, for a linear equation, is obtained by a Carleman-type estimate. This kind of observability inequality yields results of controllability to the trajectories for semilinear equations. It also yields a stability result for the inverse problem of the identification of the diffusion coefficient.

引用

页码：582 / 586

页数：5

共 8 条

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