{"paper":{"title":"Inverse boundary value problem for Schr\\\"odinger equation in cylindrical domain by partial boundary data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.MP"],"primary_cat":"math-ph","authors_text":"Masahiro Yamamoto, Oleg Yu Imanuvilov","submitted_at":"2012-11-06T22:39:58Z","abstract_excerpt":"Let $\\Omega\\subset \\Bbb R^2$ be a bounded domain with $\\partial\\Omega\\in C^\\infty$ and $L$ be a positive number. For a three dimensional cylindrical domain $Q=\\Omega\\times (0,L)$, we obtain some uniqueness result of determining a complex-valued potential for the Schr\\\"odinger equation from partial Cauchy data when Dirichlet data vanish on a subboundary $(\\partial\\Omega\\setminus\\widetilde{\\Gamma}) \\times [0,L]$ and the corresponding Neumann data are observed on $\\widetilde\\Gamma \\times [0,L]$, where $\\widetilde\\Gamma$ is an arbitrary fixed open set of $\\partial\\Omega.$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.1419","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"}