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arXiv · 2307.00829

Deconvolutional determination of the nonlinearity in a semilinear wave equation

Nicholas Hu·Rowan Killip·Monica Visan
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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.

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Nicholas Hu, Rowan Killip, Monica Visan. 2023-07-03. Deconvolutional determination of the nonlinearity in a semilinear wave equation. https://doi.org/10.2140/paa.2025.7.1

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