{"paper":{"title":"Boundary null controllability for a heat equation with general dynamical boundary condition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Mahamadi Warma, Umberto Biccari","submitted_at":"2016-10-27T12:29:28Z","abstract_excerpt":"Let $\\Omega\\subset\\mathbb R^N$ be a bounded open set with Lipschitz continuous boundary $\\Gamma$. Let $\\gamma>0$, $\\delta\\ge 0$ be real numbers and $\\beta$ a nonnegative measurable function in $L^\\infty(\\Gamma)$. Using some suitable Carleman estimates, we show that the linear heat equation $\\partial_tu - \\gamma\\Delta u = 0$ in $\\Omega\\times(0,T)$ with the non-homogeneous general dynamic boundary conditions $\\partial_tu_{\\Gamma} -\\delta\\Delta_\\Gamma u_{\\Gamma}+ \\gamma\\partial_{\\nu}u + \\beta u_{\\Gamma} = g$ on $\\Gamma\\times(0,T)$ is always null controllable from the boundary for every $T>0$ and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.08746","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"}