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Uniqueness of nonlinear ground states for the fractional Laplacian

Enno Lenzmann
(København)
Analysis Seminar
Wednesday, 3 November, 2010, at 14:15, in Aud. D4 (1531-219)
Abstract:

Since the formulation of the Benjamin-Ono equation in the 1970's, the uniqueness of nonlinear ground states for fractional Laplacians has been a central open problem in the theory of water waves. In this talk, I will present a general uniqueness result, which answers this question affirmatively. Time permitting, I will discuss some applications of this fundamental result to the generalized Benjamin-Ono equation and other nonlinear dispersive equations.

This is joint work with Rupert Frank (Princeton).

Contact person: Søren Fournais