English

Finite speed of propagation for the 2- and 3-dimensional multiplicative stochastic wave equation

Analysis of PDEs 2021-10-18 v1 Probability

Abstract

We prove finite speed of propagation for the multiplicative stochastic wave equation in two and three dimensions which leads us to a global space-time well-posedness result for the cubic nonlinear equation in the analogue of the energy space.

Keywords

Cite

@article{arxiv.2110.08086,
  title  = {Finite speed of propagation for the 2- and 3-dimensional multiplicative stochastic wave equation},
  author = {Immanuel Zachhuber},
  journal= {arXiv preprint arXiv:2110.08086},
  year   = {2021}
}