{ "id": "2003.02331", "version": "v1", "published": "2020-03-04T21:05:05.000Z", "updated": "2020-03-04T21:05:05.000Z", "title": "On uniqueness and structure of renormalized solutions to integro-differential equations with general measure data", "authors": [ "Tomasz Klimsiak" ], "categories": [ "math.AP" ], "abstract": "We propose a new definition of renormalized solution to linear equation with self-adjoint operator generating a Markov semigroup and bounded Borel measure on the right-hand side. We give a uniqueness result and study the structure of solutions to truncated equations.", "revisions": [ { "version": "v1", "updated": "2020-03-04T21:05:05.000Z" } ], "analyses": { "keywords": [ "general measure data", "renormalized solution", "integro-differential equations", "right-hand side", "linear equation" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }