Title

Gibbs measure evolution in radial nonlinear wave and Schrödinger equations on the ball

Document Type

Article

Publication Date

6-1-2012

Abstract

We establish new results for the radial nonlinear wave and Schrödinger equations on the ball in R2 and R3, for random initial data. More precisely, a well-defined and unique dynamics is obtained on the support of the corresponding Gibbs measure. This complements results from Burq and Tzvetkov (2008) [8,9] and Tzvetkov (2006, 2008) [10,11]. © 2012 Académie des sciences.

Publication Source (Journal or Book title)

Comptes Rendus Mathematique

First Page

571

Last Page

575

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