{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:NW62FIN2TZCNQ5PBMFEKBOI45G","short_pith_number":"pith:NW62FIN2","schema_version":"1.0","canonical_sha256":"6dbda2a1ba9e44d875e16148a0b91ce9ae345dcfec1d9633ce4c93f2566eb120","source":{"kind":"arxiv","id":"1810.12390","version":1},"attestation_state":"computed","paper":{"title":"Exponential Decay of Quasilinear Maxwell Equations with Interior Conductivity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Irena Lasiecka, Michael Pokojovy, Roland Schnaubelt","submitted_at":"2018-10-29T20:21:17Z","abstract_excerpt":"We consider a quasilinear nonhomogeneous, anisotropic Maxwell system in a bounded smooth domain of $\\mathbb{R}^{3}$ with a strictly positive conductivity subject to the boundary conditions of a perfect conductor. Under appropriate regularity conditions, adopting a classical $L^{2}$-Sobolev solution framework, a nonlinear energy barrier estimate is established for local-in-time $H^{3}$-solutions to the Maxwell system by a proper combination of higher-order energy and observability-type estimates under a smallness assumption on the initial data. Technical complications due to quasilinearity, ani"},"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":"1810.12390","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-10-29T20:21:17Z","cross_cats_sorted":[],"title_canon_sha256":"a29f0f7448972fba8fe587ddd855560117d87105df771e7e6554ac2fc16a5977","abstract_canon_sha256":"7abca8fc5d7b4f04e15e8649efafcc345187457c8fc1d35e0d8137489419067d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:02.820979Z","signature_b64":"MwN65HvDRzK4u9KIRi1Ctx7XrQqXLA3gQx5HaQes21t4DYkZ/ZcS+25DAlC6K+rk0xF/T2cRuGXam3zaF4fbCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6dbda2a1ba9e44d875e16148a0b91ce9ae345dcfec1d9633ce4c93f2566eb120","last_reissued_at":"2026-05-18T00:02:02.820507Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:02.820507Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exponential Decay of Quasilinear Maxwell Equations with Interior Conductivity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Irena Lasiecka, Michael Pokojovy, Roland Schnaubelt","submitted_at":"2018-10-29T20:21:17Z","abstract_excerpt":"We consider a quasilinear nonhomogeneous, anisotropic Maxwell system in a bounded smooth domain of $\\mathbb{R}^{3}$ with a strictly positive conductivity subject to the boundary conditions of a perfect conductor. Under appropriate regularity conditions, adopting a classical $L^{2}$-Sobolev solution framework, a nonlinear energy barrier estimate is established for local-in-time $H^{3}$-solutions to the Maxwell system by a proper combination of higher-order energy and observability-type estimates under a smallness assumption on the initial data. Technical complications due to quasilinearity, ani"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.12390","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":"1810.12390","created_at":"2026-05-18T00:02:02.820573+00:00"},{"alias_kind":"arxiv_version","alias_value":"1810.12390v1","created_at":"2026-05-18T00:02:02.820573+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.12390","created_at":"2026-05-18T00:02:02.820573+00:00"},{"alias_kind":"pith_short_12","alias_value":"NW62FIN2TZCN","created_at":"2026-05-18T12:32:40.477152+00:00"},{"alias_kind":"pith_short_16","alias_value":"NW62FIN2TZCNQ5PB","created_at":"2026-05-18T12:32:40.477152+00:00"},{"alias_kind":"pith_short_8","alias_value":"NW62FIN2","created_at":"2026-05-18T12:32:40.477152+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/NW62FIN2TZCNQ5PBMFEKBOI45G","json":"https://pith.science/pith/NW62FIN2TZCNQ5PBMFEKBOI45G.json","graph_json":"https://pith.science/api/pith-number/NW62FIN2TZCNQ5PBMFEKBOI45G/graph.json","events_json":"https://pith.science/api/pith-number/NW62FIN2TZCNQ5PBMFEKBOI45G/events.json","paper":"https://pith.science/paper/NW62FIN2"},"agent_actions":{"view_html":"https://pith.science/pith/NW62FIN2TZCNQ5PBMFEKBOI45G","download_json":"https://pith.science/pith/NW62FIN2TZCNQ5PBMFEKBOI45G.json","view_paper":"https://pith.science/paper/NW62FIN2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1810.12390&json=true","fetch_graph":"https://pith.science/api/pith-number/NW62FIN2TZCNQ5PBMFEKBOI45G/graph.json","fetch_events":"https://pith.science/api/pith-number/NW62FIN2TZCNQ5PBMFEKBOI45G/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NW62FIN2TZCNQ5PBMFEKBOI45G/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NW62FIN2TZCNQ5PBMFEKBOI45G/action/storage_attestation","attest_author":"https://pith.science/pith/NW62FIN2TZCNQ5PBMFEKBOI45G/action/author_attestation","sign_citation":"https://pith.science/pith/NW62FIN2TZCNQ5PBMFEKBOI45G/action/citation_signature","submit_replication":"https://pith.science/pith/NW62FIN2TZCNQ5PBMFEKBOI45G/action/replication_record"}},"created_at":"2026-05-18T00:02:02.820573+00:00","updated_at":"2026-05-18T00:02:02.820573+00:00"}