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math.PR2016
Closability of Quadratic Forms Associated to Invariant Probability Measures of SPDEs
Michael Rockner, Feng-Yu Wang
By using the integration by parts formula of a Markov operator, the closability of quadratic forms associated to the corresponding invariant probability measure is proved. The gene…
math.PR2016★ 2 cited
The total variation flow perturbed by gradient linear multiplicative noise
Michael Rockner, Ionut Munteanu
We consider stochastic non-linear diffusion equations with a highly singular diffusivity term and multiplicative gradient-type noise. We study existence and uniqueness of non-negat…