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arXiv · 2005.10447

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

Peter Hintz·Gunther Uhlmann·Jian Zhai
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Abstract

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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Peter Hintz, Gunther Uhlmann, Jian Zhai. 2020-05-21. An inverse boundary value problem for a semilinear wave equation on Lorentzian manifolds. https://arxiv.org/abs/2005.10447

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