{"paper":{"title":"Existence, Uniqueness and Convergence of Simultaneous Distributed-Boundary Optimal Control Problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Claudia M. Gariboldi, Domingo A. Tarzia","submitted_at":"2015-05-15T18:51:13Z","abstract_excerpt":"We consider a steady-state heat conduction problem $P$ for the Poisson equation with mixed boundary conditions in a bounded multidimensional domain $\\Omega$. We also consider a family of problems $P_{\\alpha}$ for the same Poisson equation with mixed boundary conditions being $\\alpha>0$ the heat transfer coefficient defined on a portion $\\Gamma_{1}$ of the boundary. We formulate simultaneous \\emph{distributed and Neumann boundary} optimal control problems on the internal energy $g$ within $\\Omega$ and the heat flux $q$, defined on the complementary portion $\\Gamma_{2}$ of the boundary of $\\Omeg"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.04154","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"}