{"paper":{"title":"On maximal regularity for the Cauchy-Dirichlet mixed parabolic problem with fractional time derivative","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Davide Guidetti","submitted_at":"2018-07-16T15:14:34Z","abstract_excerpt":"We prove two maximal regularity results in spaces of continuous and H\\\"older continuous functions, for a mixed linear Cauchy-Dirichlet problem with a fractional time derivative $\\mathbb{D}_t^\\alpha$. This derivative is intended in the sense of Caputo and $\\alpha$ is taken in $(0, 2)$. In case $\\alpha = 1$, we obtain maximal regularity results for mixed parabolic problems already known in mathematica literature."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.05913","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"}