Abstract
We show that the Miura map L2(T) → H-1(T), r↦rx + r2 is a global fold and then apply our results on global well-posedness of KdV in H-1(T) to show that mKdV is globally well-posed in L2(T).
Kappeler, T; Topalov, P (2005). Global Well-Posedness of mKdV in L2 (T,R). Communications in Partial Differential Equations, 30(3):435-449.
Abstract
We show that the Miura map L2(T) → H-1(T), r↦rx + r2 is a global fold and then apply our results on global well-posedness of KdV in H-1(T) to show that mKdV is globally well-posed in L2(T).
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Additional indexing
| 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 > Analysis
Physical Sciences > Applied Mathematics |
| Uncontrolled Keywords: | Global in time existence, Initial value problem, Modified KdV |
| Language: | English |
| Date: | 2005 |
| Deposited On: | 03 Mar 2010 13:48 |
| Last Modified: | 23 Jan 2022 14:35 |
| Publisher: | Taylor & Francis |
| ISSN: | 0360-5302 |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1081/PDE-200050089 |
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Kappeler, T