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math.PR2013
Singular Behavior of the Solution to the Stochastic Heat Equation on a Polygonal Domain
Felix Lindner
We study the stochastic heat equation with trace class noise and zero Dirichlet boundary condition on a bounded polygonal domain O in R^2. It is shown that the solution u can be de…
math.PR2013★ 17 cited
On the Lq(Lp)-regularity and Besov smoothness of stochastic parabolic equations on bounded Lipschitz domains
Petru A. Cioica, Kyeong-Hun Kim, Kijung Lee +1
We investigate the regularity of linear stochastic parabolic equations with zero Dirichlet boundary condition on bounded Lipschitz domains with both theoretical and…