{"paper":{"title":"On an inverse problem for anisotropic conductivity in the plane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Gennadi Henkin, Matteo Santacesaria","submitted_at":"2010-03-09T14:27:34Z","abstract_excerpt":"Let $\\hat \\Omega \\subset \\mathbb R^2$ be a bounded domain with smooth boundary and $\\hat \\sigma$ a smooth anisotropic conductivity on $\\hat \\Omega$. Starting from the Dirichlet-to-Neumann operator $\\Lambda_{\\hat \\sigma}$ on $\\partial \\hat \\Omega$, we give an explicit procedure to find a unique domain $\\Omega$, an isotropic conductivity $\\sigma$ on $\\Omega$ and the boundary values of a quasiconformal diffeomorphism $F:\\hat \\Omega \\to \\Omega$ which transforms $\\hat \\sigma$ into $\\sigma$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.1880","kind":"arxiv","version":2},"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"}