Renormalization of the two-dimensional stochastic nonlinear wave equations
Probability
2018-05-24 v2 Analysis of PDEs
Abstract
We study the two-dimensional stochastic nonlinear wave equations (SNLW) with an additive space-time white noise forcing. In particular, we introduce a time-dependent renor- malization and prove that SNLW is pathwise locally well-posed. As an application of the local well-posedness argument, we also establish a weak universality result for the renormalized SNLW.
Cite
@article{arxiv.1703.05461,
title = {Renormalization of the two-dimensional stochastic nonlinear wave equations},
author = {Massimiliano Gubinelli and Herbert Koch and Tadahiro Oh},
journal= {arXiv preprint arXiv:1703.05461},
year = {2018}
}
Comments
24 pages, Typos corrected. To appear in Trans. Amer. Math. Soc