{ "id": "1211.1460", "version": "v3", "published": "2012-11-07T06:16:38.000Z", "updated": "2013-07-31T05:22:50.000Z", "title": "Backward SPDEs with non-local in time and space boundary conditions", "authors": [ "Nikolai Dokuchaev" ], "comment": "14 pages. arXiv admin note: substantial text overlap with arXiv:1208.5538", "categories": [ "math.PR", "math.AP" ], "abstract": "We study linear backward stochastic partial differential equations of parabolic type with special boundary condition that connect the terminal value of the solution with a functional over the entire past solution. Uniqueness, solvability and regularity results for the solutions are obtained.", "revisions": [ { "version": "v3", "updated": "2013-07-31T05:22:50.000Z" } ], "analyses": { "subjects": [ "60J55", "60J60", "60H10", "34F05", "34G10" ], "keywords": [ "space boundary conditions", "backward spdes", "backward stochastic partial differential equations", "study linear backward stochastic partial", "linear backward stochastic partial differential" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1211.1460D" } } }