{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:4GAU47IQSEQ74OS6WZTYEECMIH","short_pith_number":"pith:4GAU47IQ","schema_version":"1.0","canonical_sha256":"e1814e7d109121fe3a5eb66782104c41f38513c606ee74c24988fab45340f9ff","source":{"kind":"arxiv","id":"2110.13401","version":2},"attestation_state":"computed","paper":{"title":"A doubly nonlinear evolution problem involving the fractional p-Laplacian","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Daniel Hauer, Timthy Collier","submitted_at":"2021-10-26T04:07:10Z","abstract_excerpt":"In this article, we focus on a doubly nonlinear nonlocal parabolic initial boundary value problem driven by the fractional $p$-Laplacian equipped with homogeneous Dirichlet boundary conditions on a domain in $\\mathbb{R}^{d}$ and composed with a continuous, strictly increasing function. We establish well-posedness in $L^1$ in the sense of mild solutions, a comparison principle, and for restricted initial data we obtain that mild solutions of the inhomogeneous evolution problem are strong. We obtain $L^{q}$-$L^{\\infty}$ regularity estimates for mild solutions, implying decay estimates and extend"},"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":"2110.13401","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2021-10-26T04:07:10Z","cross_cats_sorted":[],"title_canon_sha256":"2448e2147753b2d6f95169eb2adb8df76de0d287529a3a89796f40c86d91a0fe","abstract_canon_sha256":"498e004dd967edeab219e92809223e4169bda21774511045afcc74c9230ae5a1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:05:44.387655Z","signature_b64":"YilYk3SxFRXhgwQdoVGRZge9LraXgeDDd2772i/JBeGiLuCpbOUGXUoBfKPC3gC544v1fKfaKSSMEu9a4bnzBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e1814e7d109121fe3a5eb66782104c41f38513c606ee74c24988fab45340f9ff","last_reissued_at":"2026-07-05T05:05:44.387297Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:05:44.387297Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A doubly nonlinear evolution problem involving the fractional p-Laplacian","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Daniel Hauer, Timthy Collier","submitted_at":"2021-10-26T04:07:10Z","abstract_excerpt":"In this article, we focus on a doubly nonlinear nonlocal parabolic initial boundary value problem driven by the fractional $p$-Laplacian equipped with homogeneous Dirichlet boundary conditions on a domain in $\\mathbb{R}^{d}$ and composed with a continuous, strictly increasing function. We establish well-posedness in $L^1$ in the sense of mild solutions, a comparison principle, and for restricted initial data we obtain that mild solutions of the inhomogeneous evolution problem are strong. We obtain $L^{q}$-$L^{\\infty}$ regularity estimates for mild solutions, implying decay estimates and extend"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.13401","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2110.13401/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2110.13401","created_at":"2026-07-05T05:05:44.387368+00:00"},{"alias_kind":"arxiv_version","alias_value":"2110.13401v2","created_at":"2026-07-05T05:05:44.387368+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.13401","created_at":"2026-07-05T05:05:44.387368+00:00"},{"alias_kind":"pith_short_12","alias_value":"4GAU47IQSEQ7","created_at":"2026-07-05T05:05:44.387368+00:00"},{"alias_kind":"pith_short_16","alias_value":"4GAU47IQSEQ74OS6","created_at":"2026-07-05T05:05:44.387368+00:00"},{"alias_kind":"pith_short_8","alias_value":"4GAU47IQ","created_at":"2026-07-05T05:05:44.387368+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2507.00959","citing_title":"Doubly nonlinear parabolic equation involving a mixed local-nonlocal operator and a convection term","ref_index":9,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4GAU47IQSEQ74OS6WZTYEECMIH","json":"https://pith.science/pith/4GAU47IQSEQ74OS6WZTYEECMIH.json","graph_json":"https://pith.science/api/pith-number/4GAU47IQSEQ74OS6WZTYEECMIH/graph.json","events_json":"https://pith.science/api/pith-number/4GAU47IQSEQ74OS6WZTYEECMIH/events.json","paper":"https://pith.science/paper/4GAU47IQ"},"agent_actions":{"view_html":"https://pith.science/pith/4GAU47IQSEQ74OS6WZTYEECMIH","download_json":"https://pith.science/pith/4GAU47IQSEQ74OS6WZTYEECMIH.json","view_paper":"https://pith.science/paper/4GAU47IQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2110.13401&json=true","fetch_graph":"https://pith.science/api/pith-number/4GAU47IQSEQ74OS6WZTYEECMIH/graph.json","fetch_events":"https://pith.science/api/pith-number/4GAU47IQSEQ74OS6WZTYEECMIH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4GAU47IQSEQ74OS6WZTYEECMIH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4GAU47IQSEQ74OS6WZTYEECMIH/action/storage_attestation","attest_author":"https://pith.science/pith/4GAU47IQSEQ74OS6WZTYEECMIH/action/author_attestation","sign_citation":"https://pith.science/pith/4GAU47IQSEQ74OS6WZTYEECMIH/action/citation_signature","submit_replication":"https://pith.science/pith/4GAU47IQSEQ74OS6WZTYEECMIH/action/replication_record"}},"created_at":"2026-07-05T05:05:44.387368+00:00","updated_at":"2026-07-05T05:05:44.387368+00:00"}