Inverse Scattering for Critical Semilinear Wave Equations

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 (3)

• Detection of Hermitian connections in wave equations with cubic non-linearity
• Analyticity of the scattering operator for semilinear dispersive equations
• 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