{ "id": "1906.10352", "version": "v1", "published": "2019-06-25T07:06:08.000Z", "updated": "2019-06-25T07:06:08.000Z", "title": "Invariance of closed convex cones for stochastic partial differential equations", "authors": [ "Stefan Tappe" ], "comment": "41 pages, 2 figures", "journal": "Journal of Mathematical Analysis and Applications 451(2):1077-1122, 2017", "categories": [ "math.PR", "math.FA" ], "abstract": "The goal of this paper is to clarify when a closed convex cone is invariant for a stochastic partial differential equation (SPDE) driven by a Wiener process and a Poisson random measure, and to provide conditions on the parameters of the SPDE, which are necessary and sufficient.", "revisions": [ { "version": "v1", "updated": "2019-06-25T07:06:08.000Z" } ], "analyses": { "subjects": [ "60H15", "60G17" ], "keywords": [ "stochastic partial differential equation", "closed convex cone", "invariance", "poisson random measure", "wiener process" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 41, "language": "en", "license": "arXiv", "status": "editable" } } }