{"paper":{"title":"The H\\\"older continuity of a class of 3-dimension ultraparabolic equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Liqun Zhang, Wendong Wang","submitted_at":"2008-08-29T04:01:43Z","abstract_excerpt":"We obtained the $C^\\alpha$ continuity for weak solutions of a class of ultraparabolic equations with measurable coefficients of the form $${\\partial_t u} = \\partial_x(a(x,y,t)\\partial_x u) +b_0(x,y,t)\\partial_x u+b(x,y,t)\\partial_y u,$$ which generalized our recent results on KFP equations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0808.4019","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"}