{"paper":{"title":"Global Marcinkiewicz estimates for nonlinear parabolic equations with nonsmooth coefficients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"The Anh Bui, Xuan Thinh Duong","submitted_at":"2017-02-17T02:17:27Z","abstract_excerpt":"Consider the parabolic equation with measure data \\begin{equation*} \\left\\{ \\begin{aligned} &u_t-{\\rm div} \\mathbf{a}(D u,x,t)=\\mu&\\text{in}& \\quad \\Omega_T, &u=0 \\quad &\\text{on}& \\quad \\partial_p\\Omega_T, \\end{aligned}\\right. \\end{equation*} where $\\Omega$ is a bounded domain in $\\mathbb{R}^n$, $\\Omega_T=\\Omega\\times (0,T)$, $\\partial_p\\Omega_T=(\\partial\\Omega\\times (0,T))\\cup (\\Omega\\times\\{0\\})$, and $\\mu$ is a signed Borel measure with finite total mass. Assume that the nonlinearity ${\\bf a}$ satisfies a small BMO-seminorm condition, and $\\Omega$ is a Reifenberg flat domain. This paper pr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.06200","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"}