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

页码：211 / 228

页数：17

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