INVERSE PROBLEMS FOR NONLINEAR HYPERBOLIC EQUATIONS

被引：16
作者：
Uhlmann, Gunther [1 ,2 ]
Zhai, Jian [2 ]
机构：
[1] Univ Washington, Dept Math, Seattle, WA 98195 USA
[2] Hong Kong Univ Sci & Technol, Inst Adv Study, Kowloon, Hong Kong, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2021年 / 41卷 / 01期
关键词：
Inverse problems; nonlinear hyperbolic equations; Lorentzian manifolds; UNIQUENESS; ELASTODYNAMICS; WAVES;
D O I：
10.3934/dcds.2020380
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
There has been considerable progress in recent years in solving inverse problems for nonlinear hyperbolic equations. One of the striking aspects of these developments is the use of nonlinearity to get new information, which is not possible for the corresponding linear equations. We illustrate this for several examples including Einstein equations and the equations of nonlinear elasticity among others.
引用
收藏
页码：455 / 469
页数：15
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