Global Uniqueness and Stability for a Class of Multidimensional Inverse Hyperbolic Problems with Two Unknowns

被引：0
|
作者：
Masahiro Yamamoto
Xu Zhang
机构：
[1] Department of Mathematical Sciences,
[2] The University of Tokyo,undefined
[3] 3-8-1 Komaba Meguro,undefined
[4] Tokyo 153,undefined
[5] School of Mathematics,undefined
[6] Sichuan University,undefined
[7] Chengdu 610064,undefined
[8] People’s Republic of China and Departamento de Matemáticas,undefined
[9] Facultad de Ciencias,undefined
[10] Universidad Autónoma de Madrid,undefined
[11] 28049 Madrid,undefined
来源：
Applied Mathematics and Optimization | 2003年 / 48卷
关键词：
Global uniqueness; Stability estimate; Observability; Inverse hyperbolic problem; Two unknowns;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we obtain the global uniqueness and stability estimate for a class of multidimensional inverse hyperbolic problems of determining a source term and an initial value from a single measurement of boundary values or interior values. By means of a suitable transformation, we reduce the problem to the observability inequalities for nonconservative hyperbolic equations with memory. Then, using a compactness/uniqueness argument, we can prove the uniqueness and the stability by a new kind of unique continuation property of a nonlocal hyperbolic equation.
引用
收藏
页码：211 / 228
页数：17
相关论文
共 50 条
12345