Inverse problems for quadratic derivative nonlinear wave equations

Yiran Wang; Ting Zhou

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arXiv · 1612.04437

Inverse problems for quadratic derivative nonlinear wave equations

Yiran Wang·Ting Zhou

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Abstract

For semilinear wave equations on Lorentzian manifolds with quadratic derivative non-linear terms, we study the inverse problem of determining the background Lorentzian metric. Under some conditions on the nonlinear term, we show that from the source-to-solution map, one can determine the Lorentzian metric up to diffeomorphisms.

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Yiran Wang, Ting Zhou. 2016-12-14. Inverse problems for quadratic derivative nonlinear wave equations. https://arxiv.org/abs/1612.04437

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