{"paper":{"title":"A higher speed type II blowup for the five dimensional energy critical heat equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Junichi Harada","submitted_at":"2019-06-10T13:46:36Z","abstract_excerpt":"This paper is concerned with blow-up solutions of the five dimensional energy critical heat equation $u_t=\\Delta u+|u|^\\frac{4}{3}u$. A goal of this paper is to show the existence of type II blowup solutions which behave as $\\|u(t)\\|_\\infty\\sim(T-t)^{-3k}$ ($k=2,3,\\cdots$). Our solutions are the same one formally derived by Filippas, Herrero and Vel\\'azquez \\cite{Filippas}."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.03976","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"}