Stochastic evolution equations with multiplicative noise
Probability
2023-03-16 v1 Functional Analysis
Abstract
We study parabolic stochastic partial differential equations (SPDEs), driven by two types of operators: one linear closed operator generating a semigroup and one linear bounded operator with Wick-type multiplication, all of them set in the infinite dimensional space framework of white noise analysis. We prove existence and uniqueness of solutions for this class of SPDEs. In particular, we also treat the stationary case when the time-derivative is equal to zero.
Keywords
Cite
@article{arxiv.2303.06225,
title = {Stochastic evolution equations with multiplicative noise},
author = {Tijana Levajkovic and Stevan Pilipovic and Dora Selesi and Milica Zigic},
journal= {arXiv preprint arXiv:2303.06225},
year = {2023}
}