Inverse scattering for critical semilinear wave equations

We show that the scattering operator for defocusing energy critical semilinear wave equations $□ u + f (u) = 0$ , $f \in C^{\infty} (ℝ)$ and $f \sim u^{5}$ , in three space dimensions, determines $f$ .

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Keywords

nonlinear wave equations, radiation fields, scattering, inverse scattering

Mathematical Subject Classification

Primary: 35P25, 58J50, 35R30

Milestones

Received: 19 January 2021

Accepted: 5 January 2022

Published: 16 October 2022

Authors

Antônio Sá Barreto
Department of Mathematics Purdue University West Lafayette, IN United States

Gunther Uhlmann
Department of Mathematics University of Washington Seattle, WA United States	Institute for Advanced Study Hong Kong University of Science and Technology Clear Water Bay Hong Kong

Yiran Wang
Department of Mathematics Emory University Atlanta, GA United States

Vol. 4, No. 2, 2022

Antônio Sá Barreto, Gunther Uhlmann and Yiran Wang

Abstract

PDF Access Denied

Keywords

Mathematical Subject Classification

Milestones

Authors