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Robinson, Juha Lehrb\\\"ack","submitted_at":"2015-04-01T07:34:42Z","abstract_excerpt":"Let $\\Omega$ be a domain in $\\mathbf R^d$ and $h(\\varphi)=\\sum^d_{k,l=1}(\\partial_k\\varphi, c_{kl}\\partial_l\\varphi)$ a quadratic form on $L_2(\\Omega)$ with domain $C_c^\\infty(\\Omega)$ where the $c_{kl}$ are real symmetric $L_\\infty(\\Omega)$-functions with $C(x)=(c_{kl}(x))>0$ for almost all $x\\in \\Omega$. Further assume there are $a, \\delta>0$ such that $a^{-1}d_\\Gamma^{\\delta}\\,I\\le C\\le a\\,d_\\Gamma^{\\delta}\\,I$ for $d_\\Gamma\\le 1$ where $d_\\Gamma$ is the Euclidean distance to the boundary $\\Gamma$ of $\\Omega$.\n  We assume that $\\Gamma$ is Ahlfors $s$-regular and if $s$, the Hausdorff dimens"},"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":"1504.00127","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-04-01T07:34:42Z","cross_cats_sorted":[],"title_canon_sha256":"1bc02dee8039fdbaa3f11b2a64c4cb1c9814fa6ecd7327a38fbd3a5bcd0035fc","abstract_canon_sha256":"6cc6e59cd3c08df90ea25d7f0a370bc4288b33827ee0209a6df09145b741b77c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:44.427919Z","signature_b64":"rjfZWSD0DoQcR833Ec+AVs9tmp6qzdIFUrSuIaJssJ+p1BT61vEFzvUNS6oFbnQ7+pckAWNVS19BzvH+p/SyCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c9731aa131755830f9eca9523c7915c517219cfff353049e6e37e6b7b1762239","last_reissued_at":"2026-05-18T00:57:44.427283Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:44.427283Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Uniqueness of diffusion on domains with rough boundaries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Derek W. 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