{ "id": "1607.00492", "version": "v1", "published": "2016-07-02T11:46:24.000Z", "updated": "2016-07-02T11:46:24.000Z", "title": "Large Deviations for a Class of Semilinear Stochastic Partial Differential Equations", "authors": [ "Mohammud Foondun", "Leila Setayeshgar" ], "categories": [ "math.PR" ], "abstract": "We prove the large deviations principle (LDP) for the law of the solutions to a class of semilinear stochastic partial differential equations driven by multiplicative noise. Our proof is based on the weak convergence approach and significantly improves earlier methods.", "revisions": [ { "version": "v1", "updated": "2016-07-02T11:46:24.000Z" } ], "analyses": { "subjects": [ "60H15", "60H10" ], "keywords": [ "semilinear stochastic partial differential equations", "stochastic partial differential equations driven", "large deviations principle", "weak convergence approach" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }