Abstract
By the inverse method we show that the Korteweg–de Vries equation (KdV) ∂tv(x,t)=-∂x3v(x,t)+6v(x,t)∂xv(x,t)x∈T,t∈R)Hβ(T,R)β≥−1.
Kappeler, T; Topalov, P (2006). Global wellposedness of KdV in H−1(T,R). Duke Mathematical Journal, 135(2):327-360.
Abstract
By the inverse method we show that the Korteweg–de Vries equation (KdV) ∂tv(x,t)=-∂x3v(x,t)+6v(x,t)∂xv(x,t)x∈T,t∈R)Hβ(T,R)β≥−1.
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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 > General Mathematics |
| Language: | English |
| Date: | 2006 |
| Deposited On: | 10 Apr 2009 08:38 |
| Last Modified: | 21 Jan 2022 14:21 |
| Publisher: | Duke University Press |
| ISSN: | 0012-7094 |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1215/S0012-7094-06-13524-X |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=2267286 |
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Kappeler, T