# American Institute of Mathematical Sciences

January  2021, 41(1): 455-469. doi: 10.3934/dcds.2020380

## Inverse problems for nonlinear hyperbolic equations

 1 Department of Mathematics, University of Washington, Seattle, WA 98195, USA, Institute for Advanced Study, The Hong Kong University of Science and Technology, Kowloon, Hong Kong, China 2 Institute for Advanced Study, The Hong Kong University of Science and Technology, Kowloon, Hong Kong, China

* Corresponding author: gunther@math.washington.edu

Received  April 2020 Published  November 2020

Fund Project: The first author was partially supported by NSF, a Walker Professorship at UW and a Si-Yuan Professorship at IAS, HKUST

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.

Citation: Gunther Uhlmann, Jian Zhai. Inverse problems for nonlinear hyperbolic equations. Discrete & Continuous Dynamical Systems - A, 2021, 41 (1) : 455-469. doi: 10.3934/dcds.2020380
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