English

Approximation and support theorem for a two space-dimensional wave equation

Probability 2016-09-07 v1 Analysis of PDEs

Abstract

We prove a characterization of the support of the law of the solution for a stochastic wave equation with two-dimensional space variable, driven by a noise white in time and correlated in space. The result is a consequence of an approximation theorem, in the convergence of probability, for equations obtained by smoothing the random noise. For some particular classes of coefficients, aproximation in the LpL^p norm, for p1p\geq 1 is also proved.

Keywords

Cite

@article{arxiv.math/9804148,
  title  = {Approximation and support theorem for a two space-dimensional wave equation},
  author = {Annie Millet and Marta Sanz-Solé},
  journal= {arXiv preprint arXiv:math/9804148},
  year   = {2016}
}