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An inverse boundary value problem for a semilinear wave equation on Lorentzian manifolds

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arxiv 2005.10447 v2 pith:YV33GFVX submitted 2020-05-21 math.AP

Peter Hintz , Gunther Uhlmann , Jian Zhai This is my paper · ORCID
classification math.AP
keywords boundaryequationinverselorentzianproblemsemilineartime-dependentvalue
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We consider an inverse boundary value problem for a semilinear wave equation on a time-dependent Lorentzian manifold with time-like boundary. The time-dependent coefficients of the nonlinear terms can be recovered in the interior from the knowledge of the Neumann-to-Dirichlet map. Either distorted plane waves or Gaussian beams can be used to derive uniqueness.

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  1. Inverse Nonlinear Scattering by a Metric

    math.AP 2024-11 conditional novelty 7.0 of 10

    Nonlinear wave scattering data on a globally hyperbolic Lorentzian spacetime determine the metric up to conformal diffeomorphism.

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