Conservative solutions of the Camassa-Holm Equation on the real line
| dc.contributor.area | Mathematics | en_US |
| dc.contributor.author | Fonte, Massimo | en_US |
| dc.contributor.department | Functional Analysis and Applications | en_US |
| dc.date.accessioned | 2005 | en_US |
| dc.date.accessioned | 2011-09-07T20:27:43Z | |
| dc.date.available | 2005 | en_US |
| dc.date.available | 2011-09-07T20:27:43Z | |
| dc.date.issued | 2005 | en_US |
| dc.description.abstract | In this paper we construct a global, continuous flow of solutions to the Camassa-Holm equation on the space H1(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. | en_US |
| dc.format.extent | 193085 bytes | en_US |
| dc.format.mimetype | application/pdf | en_US |
| dc.identifier.uri | https://openscience.sissa.it/handle/1963/1728 | en_US |
| dc.language.iso | en_US | en_US |
| dc.relation.ispartofseries | SISSA;76/2005/M | en_US |
| dc.relation.ispartofseries | arXiv.org;math.AP/0511549 | en_US |
| dc.title | Conservative solutions of the Camassa-Holm Equation on the real line | en_US |
| dc.type | Preprint | en_US |