A stability result via Carleman estimates for an inverse source problem related to a hyperbolic integro-differential equation

被引：0

作者：

Cavaterra, Cecilia ^{[1
]}

Lorenzi, Alfredo ^{[1
]}

Yamamoto, Masahiro ^{[2
]}

机构：

[1] Univ Milan, Dipartimento Matemat F Enriques, I-20133 Milan, Italy

[2] Univ Tokyo, Dept Math Sci, Meguro Ku, Tokyo 153, Japan

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2006年 / 25卷 / 2-3期

基金：

日本学术振兴会;

关键词：

Hyperbolic integro-differential equation; Carleman estimate; inverse source problem; stability estimate;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

First we prove a Carleman estimate for a hyperbolic integro-differential equation. Next we apply such a result to identify a spatially dependent function in a source term by an (additional) single measurement on the boundary.

引用

页码：229 / 250

页数：22

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