{"paper":{"title":"Double convergence of a family of discrete distributed mixed elliptic optimal control problems with a parameter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Domingo A. Tarzia","submitted_at":"2015-12-11T21:31:36Z","abstract_excerpt":"We consider a bounded domain $\\Omega$ in $\\mathbb{R}^{n}$ whose regular boundary $\\partial\\Omega$ consists of the union of two disjoint portions $\\Gamma_{1}$ and $\\Gamma_{2}$ with $meas(\\Gamma_{1})>0$. The convergence of a family of continuous distributed mixed elliptic optimal control problems (DMEOCPs) $P_{\\alpha}$, governed by elliptic variational equalities (EVE), when the parameter $\\alpha$ goes to infinity was studied in Gariboldi-Tarzia, Appl. Math. Optim. (2003). It has been proved that the optimal control (OC), and their corresponding system and adjoint system states (SASSs) are stron"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.03832","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"}