{"paper":{"title":"Stochastic Variational Inequalities on Non-Convex Domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Aurel R\\u{a}\\c{s}canu, Etienne Pardoux, Lucian Maticiuc, Rainer Buckdahn","submitted_at":"2014-07-07T20:43:49Z","abstract_excerpt":"The objective of this work is to prove, in a first step, the existence and the uniqueness of a solution of the following multivalued deterministic differential equation: $dx(t)+\\partial ^-\\varphi (x(t))(dt)\\ni dm(t),\\ t>0$, $x(0)=x_0$, where $m:\\mathbb{R}_+\\rightarrow\\mathbb{R}^d$ is a continuous function and $\\partial^-\\varphi$ is the Fr\\'{e}chet subdifferential of a semiconvex function $\\varphi$; the domain of $\\varphi$ can be non-convex, but some regularities of the boundary are required.\n  The continuity of the map $m\\mapsto x:C([0,T];\\mathbb{R}^{d})\\rightarrow C([0,T] ;\\mathbb{R}^{d})$, w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.1876","kind":"arxiv","version":2},"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"}