{ "id": "1607.02563", "version": "v1", "published": "2016-07-09T02:52:07.000Z", "updated": "2016-07-09T02:52:07.000Z", "title": "Closability of Quadratic Forms Associated to Invariant Probability Measures of SPDEs", "authors": [ "Michael Rockner", "Feng-Yu Wang" ], "comment": "14 pages", "categories": [ "math.PR" ], "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.", "revisions": [ { "version": "v1", "updated": "2016-07-09T02:52:07.000Z" } ], "analyses": { "keywords": [ "quadratic forms", "closability", "semilinear spdes", "infinite-dimensional stochastic hamiltonian systems", "corresponding invariant probability measure" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable" } } }