Conservative solution of the Camassa Holm Equation on the real line
Analysis of PDEs
2007-05-23 v1
Abstract
In this paper we construct a global, continuous flow of solutions to the Camassa-Holm equation on the space H^1(R). In a previous paper [2], A. Bressan and the author constructed spatially periodic solutions, whereas in this paper the solutions are defined in all the real line. We introduce a distance functional, defined in terms of an optimal transportation problem, which allows us to study the continuous dependance w.r.t. the inital data with a certain decay at infinity.
Keywords
Cite
@article{arxiv.math/0511549,
title = {Conservative solution of the Camassa Holm Equation on the real line},
author = {Massimo Fonte},
journal= {arXiv preprint arXiv:math/0511549},
year = {2007}
}
Comments
15 pages, 2 figures