An inverse boundary value problem for a semilinear wave equation on Lorentzian manifolds
Analysis of PDEs
2021-01-27 v2
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.
Keywords
Cite
@article{arxiv.2005.10447,
title = {An inverse boundary value problem for a semilinear wave equation on Lorentzian manifolds},
author = {Peter Hintz and Gunther Uhlmann and Jian Zhai},
journal= {arXiv preprint arXiv:2005.10447},
year = {2021}
}