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Closability of Quadratic Forms Associated to Invariant Probability Measures of SPDEs

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 general result is applied to the study of semilinear SPDEs, infinite-dimensional stochastic Hamiltonian systems, and semilinear SPDEs with delay.

preprint2016arXivOpen access
Michael RocknerFeng-Yu Wang
math.PR
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Michael RocknerFeng-Yu Wang

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