{ "id": "0704.2380", "version": "v2", "published": "2007-04-18T16:23:19.000Z", "updated": "2008-08-22T18:15:59.000Z", "title": "Local well-posedness of Musiela's SPDE with Lévy noise", "authors": [ "Carlo Marinelli" ], "comment": "Final version", "categories": [ "math.PR" ], "abstract": "We determine sufficient conditions on the volatility coefficient of Musiela's stochastic partial differential equation driven by an infinite dimensional L{\\'e}vy process so that it admits a unique local mild solution in spaces of functions whose first derivative is square integrable with respect to a weight.", "revisions": [ { "version": "v2", "updated": "2008-08-22T18:15:59.000Z" } ], "analyses": { "subjects": [ "60G51", "60H15", "91B28" ], "keywords": [ "musielas spde", "local well-posedness", "lévy noise", "stochastic partial differential equation driven", "musielas stochastic partial differential equation" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0704.2380M" } } }