Stochastic equations with boundary noise
Probability
2010-01-14 v1 Analysis of PDEs
Functional Analysis
Abstract
We study the wellposedness and pathwise regularity of semilinear non-autonomous parabolic evolution equations with boundary and interior noise in an setting. We obtain existence and uniqueness of mild and weak solutions. The boundary noise term is reformulated as a perturbation of a stochastic evolution equation with values in extrapolation spaces.
Cite
@article{arxiv.1001.2137,
title = {Stochastic equations with boundary noise},
author = {Roland Schnaubelt and Mark Veraar},
journal= {arXiv preprint arXiv:1001.2137},
year = {2010}
}
Comments
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