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math.APMar 8, 2020
21
citations (OpenAlex)
authors
  • Antônio Sá Barreto
  • Gunther Uhlmann
  • Yiran Wang
institutions
  • Emory University
  • Hong Kong University of Science and Technology
  • Purdue University West Lafayette
  • University of Washington
arXiv abstractPDF
paper

Inverse Scattering for Critical Semilinear Wave Equations

arXiv:2003.03822 · doi:10.2140/paa.2022.4.191

Abstract

We show that the scattering operator for defocusing energy critical semilinear wave equations \square u+f(u)=0, with f C-infinity and f ~ u^5, in three space dimensions, determines f.

References in corpus (5)

  • Recovery of zeroth order coefficients in non-linear wave equations
  • Detection of Hermitian connections in wave equations with cubic non-linearity
  • Analyticity of the scattering operator for semilinear dispersive equations
  • Singularities generated by the triple interaction of semilinear conormal waves
  • The direct and inverse scattering problem for the semilinear Schrödinger equation

Cited by in corpus (2)

  • Inverse problems for non-linear hyperbolic equations with disjoint sources and receivers
  • Deconvolutional determination of the nonlinearity in a semilinear wave equation
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