Low regularity solutions to the stochastic geometric wave equation driven by a fractional Brownian sheet
Analysis of PDEs
2020-06-16 v1 Probability
Abstract
We announce a result on the existence of a unique local solution to a stochastic geometric wave equation on the one dimensional Minkowski space with values in an arbitrary compact Riemannian manifold. We consider a rough initial data in the sense that its regularity is lower than the energy critical.
Keywords
Cite
@article{arxiv.2006.07740,
title = {Low regularity solutions to the stochastic geometric wave equation driven by a fractional Brownian sheet},
author = {Zdzisław Brzeźniak and Nimit Rana},
journal= {arXiv preprint arXiv:2006.07740},
year = {2020}
}