English

Deconvolutional determination of the nonlinearity in a semilinear wave equation

Analysis of PDEs 2025-01-29 v1

Abstract

We demonstrate that in three space dimensions, the scattering behaviour of semilinear wave equations with quintic-type nonlinearities uniquely determines the nonlinearity. The nonlinearity is permitted to depend on both space and time.

Keywords

Cite

@article{arxiv.2307.00829,
  title  = {Deconvolutional determination of the nonlinearity in a semilinear wave equation},
  author = {Nicholas Hu and Rowan Killip and Monica Visan},
  journal= {arXiv preprint arXiv:2307.00829},
  year   = {2025}
}

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16 pages