Scattering Theory for Zakharov Equations in Three Space Dimensions with Large Data

Abstract

We study the scattering theory for the Zakharov equation in three space dimensions. We show the unique existence of the solution for this equation which tends to the given free profile with no restriction on the size of the scattered states and on the support of the Fourier transform of them. This yields the existence of the pseudo wave operators.

Cite this paper

@inproceedings{Shimomura2003ScatteringTF, title={Scattering Theory for Zakharov Equations in Three Space Dimensions with Large Data}, author={Akihiro Shimomura}, year={2003} }