{ "id": "1402.3113", "version": "v1", "published": "2014-02-13T12:52:15.000Z", "updated": "2014-02-13T12:52:15.000Z", "title": "On the solution of the Cauchy problem in the weighted spaces of Beurling ultradistributions", "authors": [ "Stevan Pilipovi\\' c", "Bojan Prangoski", "Daniel Velinov" ], "categories": [ "math.FA" ], "abstract": "Results of Da Prato and Sinestrari, on differential operators with non-dense domain but satisfying the Hille--Yosida condition, are applied in the setting of Beurling weighted spaces of ultradistributions $\\DD'^{(s)}_{L^p}((0,T)\\times U)$, where $U$ is open and bounded set in $\\mathbb R^d$.", "revisions": [ { "version": "v1", "updated": "2014-02-13T12:52:15.000Z" } ], "analyses": { "subjects": [ "47D03", "35A01" ], "keywords": [ "cauchy problem", "beurling ultradistributions", "hille-yosida condition", "non-dense domain", "da prato" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1402.3113P" } } }