Global Uniqueness for an Inverse Stochastic Hyperbolic Problem with Three Unknowns

被引：34

作者：

Lu, Qi ^{[1
,2
]}

Zhang, Xu ^{[3
]}

机构：

[1] Univ Elect Sci & Technol China, Chengdu, Peoples R China

[2] Sichuan Univ, Sch Math, Chengdu 610064, Peoples R China

[3] Sichuan Univ, Yangtze Ctr Math, Chengdu 610064, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2015年 / 68卷 / 06期

基金：

美国国家科学基金会;

关键词：

EQUATIONS; STABILITY;

D O I：

10.1002/cpa.21503

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is addressed to an inverse stochastic hyperbolic problem with three unknowns, i.e., a random force intensity, an initial displacement, and an initial velocity. The global uniqueness for this inverse problem is proved by means of a new global Carleman estimate for the stochastic hyperbolic equation. It is found that both the formulation of stochastic inverse problems and the tools to solve them differ considerably from their deterministic counterpart. (c) 2015 Wiley Periodicals, Inc.

引用

页码：948 / 963

页数：16

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