{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:WYYXZ2X2TADERZ4XBTCEZX7FZ7","short_pith_number":"pith:WYYXZ2X2","schema_version":"1.0","canonical_sha256":"b6317ceafa980648e7970cc44cdfe5cfeacd077cb17b49dabc875d660ee9086b","source":{"kind":"arxiv","id":"1104.5125","version":1},"attestation_state":"computed","paper":{"title":"Quasilinear elliptic and parabolic Robin problems on Lipschitz domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Robin Nittka","submitted_at":"2011-04-27T12:35:40Z","abstract_excerpt":"We prove H\\\"older continuity up to the boundary for solutions of quasi-linear degenerate elliptic problems in divergence form, not necessarily of variational type, on Lipschitz domains with Neumann and Robin boundary conditions. This includes the $p$-Laplace operator for all $p \\in (1,\\infty)$, but also operators with unbounded coefficients. Based on the elliptic result we show that the corresponding parabolic problem is well-posed in the space $C(\\bar{\\Omega})$ provided that the coefficients satisfy a mild monotonicity condition. More precisely, we show that the realization of the elliptic op"},"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":"1104.5125","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-04-27T12:35:40Z","cross_cats_sorted":[],"title_canon_sha256":"cfcc1ccbd64a492647c639eaa01ef31c18b61175968f5d60befe08ab5fc43415","abstract_canon_sha256":"1b98566c193f57443774d227fc2109f26afddae95482a3047632f4fb89dfd992"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:23:22.581716Z","signature_b64":"17fkZ0PO7OX7ie1uwO89xewJozweJNa3NpzOiuSvZN2PFORKuXPllorcmOkFAYyUvct+cA3vezao8G9G2Fr7CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b6317ceafa980648e7970cc44cdfe5cfeacd077cb17b49dabc875d660ee9086b","last_reissued_at":"2026-05-18T04:23:22.581269Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:23:22.581269Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quasilinear elliptic and parabolic Robin problems on Lipschitz domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Robin Nittka","submitted_at":"2011-04-27T12:35:40Z","abstract_excerpt":"We prove H\\\"older continuity up to the boundary for solutions of quasi-linear degenerate elliptic problems in divergence form, not necessarily of variational type, on Lipschitz domains with Neumann and Robin boundary conditions. This includes the $p$-Laplace operator for all $p \\in (1,\\infty)$, but also operators with unbounded coefficients. Based on the elliptic result we show that the corresponding parabolic problem is well-posed in the space $C(\\bar{\\Omega})$ provided that the coefficients satisfy a mild monotonicity condition. More precisely, we show that the realization of the elliptic op"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.5125","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1104.5125","created_at":"2026-05-18T04:23:22.581328+00:00"},{"alias_kind":"arxiv_version","alias_value":"1104.5125v1","created_at":"2026-05-18T04:23:22.581328+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.5125","created_at":"2026-05-18T04:23:22.581328+00:00"},{"alias_kind":"pith_short_12","alias_value":"WYYXZ2X2TADE","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_16","alias_value":"WYYXZ2X2TADERZ4X","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_8","alias_value":"WYYXZ2X2","created_at":"2026-05-18T12:26:44.992195+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WYYXZ2X2TADERZ4XBTCEZX7FZ7","json":"https://pith.science/pith/WYYXZ2X2TADERZ4XBTCEZX7FZ7.json","graph_json":"https://pith.science/api/pith-number/WYYXZ2X2TADERZ4XBTCEZX7FZ7/graph.json","events_json":"https://pith.science/api/pith-number/WYYXZ2X2TADERZ4XBTCEZX7FZ7/events.json","paper":"https://pith.science/paper/WYYXZ2X2"},"agent_actions":{"view_html":"https://pith.science/pith/WYYXZ2X2TADERZ4XBTCEZX7FZ7","download_json":"https://pith.science/pith/WYYXZ2X2TADERZ4XBTCEZX7FZ7.json","view_paper":"https://pith.science/paper/WYYXZ2X2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1104.5125&json=true","fetch_graph":"https://pith.science/api/pith-number/WYYXZ2X2TADERZ4XBTCEZX7FZ7/graph.json","fetch_events":"https://pith.science/api/pith-number/WYYXZ2X2TADERZ4XBTCEZX7FZ7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WYYXZ2X2TADERZ4XBTCEZX7FZ7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WYYXZ2X2TADERZ4XBTCEZX7FZ7/action/storage_attestation","attest_author":"https://pith.science/pith/WYYXZ2X2TADERZ4XBTCEZX7FZ7/action/author_attestation","sign_citation":"https://pith.science/pith/WYYXZ2X2TADERZ4XBTCEZX7FZ7/action/citation_signature","submit_replication":"https://pith.science/pith/WYYXZ2X2TADERZ4XBTCEZX7FZ7/action/replication_record"}},"created_at":"2026-05-18T04:23:22.581328+00:00","updated_at":"2026-05-18T04:23:22.581328+00:00"}