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It is shown that the coefficients $\\gamma$, $\\kappa$ and $A=(a_{jk})$ are uniquely determined from the knowledge of the boundary map $u|_{\\partial\\Omega}\\mapsto \\nu\\cdot A\\nabla \\psi|_{\\partial\\Omega}$, where $\\nu$ is the unit outer normal to $\\partial\\Omeg"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1012.3099","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2010-12-14T17:34:22Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"ef046240cc49b33fd5f7529d827a33857d276b5992622efe0566dd9e4a32cae8","abstract_canon_sha256":"608891d5f42e9f7447440f66a30ce232289681ae3f99ef912ae5ea3c27432615"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:33:18.620330Z","signature_b64":"9+2tdmEMO/tg0ZRq7buRrXss7ly/vZedkhq/kVoYLXmBLqjEoKHy3O2lgDsoosT0aol5hyd7f3N4Ivo3/fWwDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4e4ce01074395401f693e983455b8809fd638fb562d4603007f16eea5553179d","last_reissued_at":"2026-05-18T04:33:18.619811Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:33:18.619811Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Determining electrical and heat transfer parameters using coupled boundary measurements","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Katsiaryna Krupchyk, Matti Lassas, Samuli Siltanen","submitted_at":"2010-12-14T17:34:22Z","abstract_excerpt":"Let $\\Omega\\subset\\R^n$, $n\\ge 3$, be a smooth bounded domain and consider a coupled system in $\\Omega$ consisting of a conductivity equation $\\nabla \\cdot \\gamma(x) \\nabla u(t,x)=0$ and an anisotropic heat equation $\\kappa^{-1}(x)\\partial_t\\psi(t,x)=\\nabla\\cdot (A(x)\\nabla \\psi(t,x))+(\\gamma\\nabla u(t,x))\\cdot \\nabla u(t,x), \\quad t\\ge 0$. 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