{"paper":{"title":"Cadlag Skorokhod problem driven by a maximal monotone operator","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, Leszek S{\\l}omi\\'nski, Lucian Maticiuc, Mateusz Topolewski","submitted_at":"2013-06-07T10:51:53Z","abstract_excerpt":"The article deals with existence and uniqueness of the solution of the following differential equation (a c\\`adl\\`ag Skorokhod problem) driven by a maximal monotone operator and with singular input generated by the c\\`{a}dl\\`{a}g function $m$: \\[ \\left\\{ \\begin{array} [c]{l} dx_{t}+A\\left( x_{t}\\right) \\left( dt\\right) +dk_{t}^{d}\\ni dm_{t} \\,,~t\\geq0,\\\\ x_{0}=m_{0}, \\end{array} \\right. \\] where $k^{d}$ is a pure jump function. The jumps outside of the constrained domain $\\overline{\\mathrm{D}(A)}$ are counteracted through the generalized projection $\\Pi$, by taking $x_{t}=\\Pi(x_{t-}+\\Delta m_{"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.1686","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"}