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Global Well-Posedness of mKdV in L2 (T,R)


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).

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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25 citations in Web of Science®
26 citations in Scopus®
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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
Uncontrolled Keywords:Global in time existence; Initial value problem; Modified KdV
Language:English
Date:2005
Deposited On:03 Mar 2010 13:48
Last Modified:05 Apr 2016 13:24
Publisher:Taylor & Francis
ISSN:0360-5302
Publisher DOI:https://doi.org/10.1081/PDE-200050089

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