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arXiv · 1205.1187

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

Jean Bourgain·Aynur Bulut
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Abstract

We establish new results for the radial nonlinear wave and Schrödinger equations on the ball in $\Bbb R^2$ and $\Bbb R^3$, 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 \cite{B-T1,B-T2} and \cite {T1,T2}.

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Jean Bourgain, Aynur Bulut. 2012-05-06. Gibbs measure evolution in radial nonlinear wave and Schrödinger equations on the ball. https://arxiv.org/abs/1205.1187

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