Closability of Quadratic Forms Associated to Invariant Probability Measures of SPDEs
arXiv:1607.02563
Abstract
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.
14 pages