An Inverse Boundary Value Problem for a Semilinear Wave Equation on Lorentzian Manifolds-Reference-Cited by-同舟云学术

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

Published:2021-05-11 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Hintz Peter¹,Uhlmann Gunther²³,Zhai Jian³

Affiliation:

1. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA

2. Department of Mathematics, University of Washington, Seattle, WA 98195, USA

3. Institute for Advanced Study, The Hong Kong University of Science and Technology, Kowloon, Hong Kong, China

Abstract

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.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnab088/37905415/rnab088.pdf

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