An Inverse Boundary Value Problem for a Semilinear Wave Equation on Lorentzian Manifolds

نویسندگان

چکیده

Abstract We consider an inverse boundary value problem for a semilinear wave equation on time-dependent Lorentzian manifold with time-like boundary. The coefficients of the nonlinear terms can be recovered in interior from knowledge Neumann-to-Dirichlet map. Either distorted plane waves or Gaussian beams used to derive uniqueness.

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ژورنال

عنوان ژورنال: International Mathematics Research Notices

سال: 2021

ISSN: ['1687-0247', '1073-7928']

DOI: https://doi.org/10.1093/imrn/rnab088