{"paper":{"title":"Application of the boundary control method to partial data Borg-Levinson inverse spectral problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Lauri Oksanen, Morgan Morancey, Yavar Kian","submitted_at":"2017-03-26T16:03:04Z","abstract_excerpt":"We consider the multidimensional Borg-Levinson problem of determining a potential $q$, appearing in the Dirichlet realization of the Schr\\\"odinger operator $A_q=-\\Delta+q$ on a bounded domain $\\Omega\\subset \\mathbb{R}^n$, $n\\geq2$, from the boundary spectral data of $A_q$ on an arbitrary portion of $\\partial\\Omega$. More precisely, for $\\gamma$ an open and non-empty subset of $\\partial\\Omega$, we consider the boundary spectral data on $\\gamma$ given by $\\mathrm{BSD}(q,\\gamma):=\\{(\\lambda_{k},{\\partial_\\nu \\phi_{k}}_{|\\overline{\\gamma}}):\\ k \\geq1\\}$, where $\\{ \\lambda_k:\\ k \\geq1\\}$ is the non"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.08832","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"}