{"paper":{"title":"Uniqueness for inverse boundary value problems by Dirichlet-to -Neumann map on subboundaries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.MP"],"primary_cat":"math-ph","authors_text":"M. Yamamoto, Oleg Yu Imanuvilov","submitted_at":"2013-03-09T03:13:12Z","abstract_excerpt":"We consider inverse boundary value problems for elliptic equations of second order of determining coefficients by Dirichlet-to-Neumann map on subboundaries, that is, the mapping from Dirichlet data supported on $\\partial\\Omega\\setminus \\Gamma_-$ to Neumann data on $\\partial\\Omega\\setminus \\Gamma_+$. First we prove uniqueness results in three dimensions under some conditions such as $\\bar{\\Gamma_+ \\cup \\Gamma_-} = \\partial\\Omega$. Next we survey uniqueness results in two dimensions for various elliptic systems for arbitrarily given $\\Gamma_- = \\Gamma_+$. Our proof is based on complex geometric "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.2159","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"}