English

On the local linearization of the one-dimensional stochastic wave equation with a multiplicative space-time white noise forcing

Analysis of PDEs 2024-07-16 v3 Probability

Abstract

In this note, we establish a bi-parameter linear localization of the one-dimensional stochastic wave equation with a multiplicative space-time white noise forcing.

Keywords

Cite

@article{arxiv.2309.16506,
  title  = {On the local linearization of the one-dimensional stochastic wave equation with a multiplicative space-time white noise forcing},
  author = {Jingyu Huang and Tadahiro Oh and Mamoru Okamoto},
  journal= {arXiv preprint arXiv:2309.16506},
  year   = {2024}
}

Comments

12 pages. Corrected minor typos. To appear in Proc. Amer. Math. Soc