INVERSE PROBLEMS for NONLINEAR HYPERBOLIC EQUATIONS

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Abstract

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.

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Uhlmann, G., & Zhai, J. (2020). INVERSE PROBLEMS for NONLINEAR HYPERBOLIC EQUATIONS. Discrete and Continuous Dynamical Systems- Series A, 41(1), 455–469. https://doi.org/10.3934/dcds.2020380

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