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28th Southeastern-Atlantic Regional Conference on Differential Equations
October 10-11, 2008
University of Arkansas at Little Rock
Little Rock Arkansas, USA

Organizers
Eric R. Kaufmann, Nickolai Kosmatov

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Stability of Solitons for the KdV Equation in Hs, -[3/4] < s < 0
by
Sarah Raynor
Wake Forest University
Coauthors: Gigliola Staffilani

We study the long-time stability of soliton solutions to the Korteweg-deVries equation. We consider solutions u to KdV with initial data in Hs, -[3/4] < s < 0, that are initially close in Hs norm to a soliton. We prove that the possible orbital instability of these ground states is at most polynomial in time.

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Date received: September 3, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caww-19.