Invariant measure for a three dimensional nonlinear wave equation

N. Burq; N. Tzvetkov

Invariant measure for a three dimensional nonlinear wave equation

Analysis of PDEs 2007-07-11 v1 Dynamical Systems

Authors: N. Burq , N. Tzvetkov

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.

Keywords

nonlinear wave equations wave maps invariant measures

Cite

@article{arxiv.0707.1445,
  title  = {Invariant measure for a three dimensional nonlinear wave equation},
  author = {N. Burq and N. Tzvetkov},
  journal= {arXiv preprint arXiv:0707.1445},
  year   = {2007}
}

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