{"paper":{"title":"A nonlinear parabolic problem with singular terms and nonregular data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Francescantonio Oliva, Francesco Petitta","submitted_at":"2019-01-06T14:11:51Z","abstract_excerpt":"We study existence of nonnegative solutions to a nonlinear parabolic boundary value problem with a general singular lower order term and a nonnegative measure as nonhomogeneous datum, of the form $$ \\begin{cases} \\displaystyle u_t - \\Delta_p u = h(u)f+\\mu & \\text{in}\\ \\Omega \\times (0,T),\\\\ u=0 &\\text{on}\\ \\partial\\Omega \\times (0,T),\\\\ u=u_0 &\\text{in}\\ \\Omega \\times \\{0\\}, \\end{cases} $$ where $\\Omega$ is an open bounded subset of $\\mathbb{R}^N$ ($N\\ge2$), $u_0$ is a nonnegative integrable function, $\\Delta_p$ is the $p$-laplace operator, $\\mu$ is a nonnegative bounded Radon measure on $\\Ome"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.01545","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"}