{"paper":{"title":"An inverse anisotropic conductivity problem induced bytwisting a homogeneous cylindrical domain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Eric Soccorsi (CPT), Mourad Choulli","submitted_at":"2012-09-25T16:11:50Z","abstract_excerpt":"We consider the inverse problem of determining the unknown function $\\alpha: \\mathbb{R} \\rightarrow \\mathbb{R}$ from the DN map associated to the operator $\\mbox{div}(A(x',\\alpha (x\\_3))\\nabla \\cdot)$ acting in the infinite straight cylindrical waveguide $\\Omega =\\omega \\times \\mathbb{R}$, where $\\omega$ is a bounded domain of $\\mathbb{R}^2$. Here $A=(A\\_{ij}(x))$, $x=(x',x\\_3) \\in \\Omega$, is a matrix-valued metric on $\\Omega$ obtained by straightening a twisted waveguide. This inverse anisotropic conductivity problem remains generally open, unless the unknown function $\\alpha$ is assumed to "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.5662","kind":"arxiv","version":7},"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"}