{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ELQIFZBJ5AOQNO3A5DOGURFEO7","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"cb8e9d8b074d37943cf01df9e18d3bd74ba0f3ef705c12af17f51d2e91c65db8","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-02-05T19:29:20Z","title_canon_sha256":"5a455631ad245c85e9ed8403cd994cdff21ac4eccadf2029f79792b720997a38"},"schema_version":"1.0","source":{"id":"1402.1136","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.1136","created_at":"2026-05-18T02:21:26Z"},{"alias_kind":"arxiv_version","alias_value":"1402.1136v3","created_at":"2026-05-18T02:21:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.1136","created_at":"2026-05-18T02:21:26Z"},{"alias_kind":"pith_short_12","alias_value":"ELQIFZBJ5AOQ","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"ELQIFZBJ5AOQNO3A","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"ELQIFZBJ","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:9247d72143b933cca17f8d33dc4dcd0b1b5fcccba7e1f1fdaad39849828c40a3","target":"graph","created_at":"2026-05-18T02:21:26Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We consider the maximal regularity problem for non-autonomous evolution equations of the form $u(t) + A(t) u(t) = f(t)$ with initial data $u(0) = u\\_0$ . Each operator $A(t)$ is associated with a sesquilinear form $a(t; *, *)$ on a Hilbert space $H$ . We assume that these forms all have the same domain and satisfy some regularity assumption with respect to t (e.g., piecewise $\\alpha$-H{\\\"o}lder continuous for some $\\alpha\\textgreater{} 1/2$). We prove maximal Lp-regularity for all initial values in the real-interpolation space $(H, D(A(0)))\\_{1/p,p}$ . The particular case where $p = 2$ improve","authors_text":"Bernhard Hermann Haak (IMB), E.-M. Ouhabaz (IMB)","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-02-05T19:29:20Z","title":"Maximal regularity for non-autonomous evolution equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.1136","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:eb502e99bd3eb0f661482e317cc9cc5a7bedc9723d1682c09f0853e8256c0772","target":"record","created_at":"2026-05-18T02:21:26Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"cb8e9d8b074d37943cf01df9e18d3bd74ba0f3ef705c12af17f51d2e91c65db8","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-02-05T19:29:20Z","title_canon_sha256":"5a455631ad245c85e9ed8403cd994cdff21ac4eccadf2029f79792b720997a38"},"schema_version":"1.0","source":{"id":"1402.1136","kind":"arxiv","version":3}},"canonical_sha256":"22e082e429e81d06bb60e8dc6a44a477f0a050dd31429211631a359e3f055e9a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"22e082e429e81d06bb60e8dc6a44a477f0a050dd31429211631a359e3f055e9a","first_computed_at":"2026-05-18T02:21:26.593806Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:21:26.593806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6Xc67m2r7lagYusJ9xkFBDU0afRxBBwQr13P7MYi3XQvJOs3uh9nJ/IzQhWF3dCTkGS0PforcZ9fCv0wH00RAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:21:26.594504Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.1136","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eb502e99bd3eb0f661482e317cc9cc5a7bedc9723d1682c09f0853e8256c0772","sha256:9247d72143b933cca17f8d33dc4dcd0b1b5fcccba7e1f1fdaad39849828c40a3"],"state_sha256":"7e26f9a123c94b943434be716584f1ee9198f6daf2d865af65994d1d335775fa"}