Invariant measure for a three dimensional nonlinear wave equation

N. Burq; N. Tzvetkov

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arXiv · 0707.1445

Invariant measure for a three dimensional nonlinear wave equation

N. Burq·N. Tzvetkov

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Abstract

We study the long time behavior of the subcritical (subcubic) defocussing nonlinear wave equation on the three dimensional ball, for random data of low regularity. We prove that for a large set of radial initial data in $\cap_{s<1/2} H^s(B(0,1))$ the equation is (globally in time) well posed and we construct an invariant measure.

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N. Burq, N. Tzvetkov. 2007-07-10. Invariant measure for a three dimensional nonlinear wave equation. https://arxiv.org/abs/0707.1445

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