Abstract
We prove that on the Sobolev spaces H0N (N S 0) of 1-periodic functions in with average 0, the Korteweg-deVries equation (KdV) admits global Birkhoff coordinates.
Kappeler, T; Makarov, M (2001). On Birkhoff coordinates for KdV. Annales Henri Poincaré, 2(5):807-856.
Abstract
We prove that on the Sobolev spaces H0N (N S 0) of 1-periodic functions in with average 0, the Korteweg-deVries equation (KdV) admits global Birkhoff coordinates.
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| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Statistical and Nonlinear Physics
Physical Sciences > Nuclear and High Energy Physics Physical Sciences > Mathematical Physics |
| Uncontrolled Keywords: | Birkhoff coordinates, periodic boundary conditions, Korteweg-de Vries equation, Hamiltonian system, phase space, Poisson structure, angle variables, Abel map, regularity, asymptotic estimates |
| Language: | English |
| Date: | 2001 |
| Deposited On: | 29 Nov 2010 16:27 |
| Last Modified: | 23 Jan 2022 14:40 |
| Publisher: | Birkhäuser |
| ISSN: | 1424-0637 |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1007/s00023-001-8595-0 |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=1869523 http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1017.76015 |
Kappeler, T