Stochastic equations with boundary noise

Details Stochastic equations with boundary noise Stochastic equations with boundary noise

2010-01-13

arxiv.org/abs/1001.2137v1

Mathematics

Probability

submitted

Scientific paper

We study the wellposedness and pathwise regularity of semilinear
non-autonomous parabolic evolution equations with boundary and interior noise
in an $L^p$ 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.

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