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An inverse boundary value problem for a semilinear wave equation on Lorentzian manifolds (2005.10447v2)
Published 21 May 2020 in math.AP
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.