{"paper":{"title":"On the solution of the Cauchy problem in the weighted spaces of Beurling ultradistributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Bojan Prangoski, Daniel Velinov, Stevan Pilipovi\\' c","submitted_at":"2014-02-13T12:52:15Z","abstract_excerpt":"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\n  $\\DD'^{(s)}_{L^p}((0,T)\\times U)$, where $U$ is open and bounded set in $\\mathbb R^d$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3113","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}