On positive type initial profiles for the KdV equation
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- by Sergei Grudsky and Alexei Rybkin PDF
- Proc. Amer. Math. Soc. 142 (2014), 2079-2086 Request permission
Abstract:
We show that the KdV flow evolves any real locally integrable initial profile $q$ of the form $q=r^{\prime }+r^{2}$, where $r\in L_{\operatorname {loc}}^{2}$, $r|_{\mathbb {R}_{+}}=0$ into a meromorphic function with no real poles.References
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Additional Information
- Sergei Grudsky
- Affiliation: Departamento de Matematicas, CINVESTAV del I.P.N. Aportado Postal 14-740, 07000 Mexico, D.F., Mexico
- Email: grudsky@math.cinvestav.mx
- Alexei Rybkin
- Affiliation: Department of Mathematics and Statistics, University of Alaska Fairbanks, P.O. Box 756660, Fairbanks, Alaska 99775
- Email: arybkin@alaska.edu
- Received by editor(s): July 10, 2012
- Published electronically: March 10, 2014
- Additional Notes: The first author was partially supported by PROMEP (México) via “Proyecto de Redes” and by CONACYT grant 102800
The second author was supported in part by the NSF under grant DMS 1009673 - Communicated by: James E. Colliander
- © Copyright 2014 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 142 (2014), 2079-2086
- MSC (2010): Primary 34B20, 37K15, 47B35
- DOI: https://doi.org/10.1090/S0002-9939-2014-11943-5
- MathSciNet review: 3182026