$L^2$-stability of multi-solitons

Muñoz, Claudio

Séminaire Laurent Schwartz — EDP et applications (2011-2012), Exposé no. 4, 9 p.

The aim of this note is to give a short review of our recent work (see [5]) with Miguel A. Alejo and Luis Vega, concerning the $L^2$-stability, and asymptotic stability, of the $N$-soliton of the Korteweg-de Vries (KdV) equation.

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