{"paper":{"title":"Sharp regularity estimates for second order fully nonlinear parabolic equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Eduardo V. Teixeira, Jo\\~ao Vitor da Silva","submitted_at":"2016-01-22T18:47:00Z","abstract_excerpt":"We prove sharp regularity estimates for viscosity solutions of fully nonlinear parabolic equations of the form \\begin{equation}\\label{Meq}\\tag{Eq} u_t- F(D^2u, Du, X, t) = f(X,t) \\quad \\mbox{in} \\quad Q_1, \\end{equation} where $F$ is elliptic with respect to the Hessian argument and $f \\in L^{p,q}(Q_1)$. The quantity $\\kappa(n, p, q):=\\frac{n}{p}+\\frac{2}{q}$ determines to which regularity regime a solution of \\eqref{Meq} belongs. We prove that when $1< \\kappa(n,p,q) < 2-\\epsilon_F$, solutions are parabolic-H\\\"{o}lder continuous for a sharp, quantitative exponent $0< \\alpha(n,p,q) < 1$. Precis"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.06099","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"}