{ "id": "2203.05356", "version": "v1", "published": "2022-03-10T13:13:39.000Z", "updated": "2022-03-10T13:13:39.000Z", "title": "An addendum to \"Mild solutions to semilinear stochastic partial differential equations with locally monotone coefficients\"", "authors": [ "Stefan Tappe" ], "comment": "12 pages", "journal": "Theory of Probability and Mathematical Statistics 107:173-184, 2022", "doi": "10.1090/tpms/1181", "categories": [ "math.PR" ], "abstract": "In this addendum we provide an existence and uniqueness result for mild solutions to semilinear stochastic partial differential equations driven by Wiener processes and Poisson random measures in the framework of the semigroup approach with locally monotone coefficients, where the semigroup is allowed to be pseudo-contractive. This improves an earlier paper of the author, where the equation was only driven by Wiener processes, and where the semigroup was only allowed to be a semigroup of contractions.", "revisions": [ { "version": "v1", "updated": "2022-03-10T13:13:39.000Z" } ], "analyses": { "keywords": [ "semilinear stochastic partial differential equations", "locally monotone coefficients", "mild solutions", "stochastic partial differential equations driven" ], "tags": [ "journal article" ], "publication": { "publisher": "AMS" }, "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable" } } }