Stochastic FitzHugh-Nagumo equations on networks with impulsive noise.
Stochastic partial differential equations with Dirichlet white-noise boundary conditions
Regularity results for infinite dimensional diffusions. A Malliavin calculus approach
We prove some smoothing properties for the transition semigroup associated to a nonlinear stochastic equation in a Hilbert space. The proof introduces some tools from the Malliavin calculus and is based on a integration by parts formula.
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