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
收藏
页码：229 / 250
页数：22
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