Generalized wave operators for a system of nonlinear wave equations in three space dimensions
Analysis of PDEs
2009-10-06 v2
Abstract
This paper is concerned with the final value problem for a system of nonlinear wave equations. The main issue is to solve the problem for the case where the nonlinearity is of a long range type. By assuming that the solution is spherically symmetric, we shall show global solvability of the final value problem around a suitable final state, and hence the generalized wave operator and long range scattering operator can be constructed.
Keywords
Cite
@article{arxiv.0909.0080,
title = {Generalized wave operators for a system of nonlinear wave equations in three space dimensions},
author = {H. Kubo and K. Kubota},
journal= {arXiv preprint arXiv:0909.0080},
year = {2009}
}
Comments
24 pages