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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"},"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":"1402.1136","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-02-05T19:29:20Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"5a455631ad245c85e9ed8403cd994cdff21ac4eccadf2029f79792b720997a38","abstract_canon_sha256":"cb8e9d8b074d37943cf01df9e18d3bd74ba0f3ef705c12af17f51d2e91c65db8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:21:26.594504Z","signature_b64":"6Xc67m2r7lagYusJ9xkFBDU0afRxBBwQr13P7MYi3XQvJOs3uh9nJ/IzQhWF3dCTkGS0PforcZ9fCv0wH00RAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"22e082e429e81d06bb60e8dc6a44a477f0a050dd31429211631a359e3f055e9a","last_reissued_at":"2026-05-18T02:21:26.593806Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:21:26.593806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Maximal regularity for non-autonomous evolution equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.FA","authors_text":"Bernhard Hermann Haak (IMB), E.-M. Ouhabaz (IMB)","submitted_at":"2014-02-05T19:29:20Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.1136","kind":"arxiv","version":3},"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":"1402.1136","created_at":"2026-05-18T02:21:26.593937+00:00"},{"alias_kind":"arxiv_version","alias_value":"1402.1136v3","created_at":"2026-05-18T02:21:26.593937+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.1136","created_at":"2026-05-18T02:21:26.593937+00:00"},{"alias_kind":"pith_short_12","alias_value":"ELQIFZBJ5AOQ","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_16","alias_value":"ELQIFZBJ5AOQNO3A","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_8","alias_value":"ELQIFZBJ","created_at":"2026-05-18T12:28:28.263976+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/ELQIFZBJ5AOQNO3A5DOGURFEO7","json":"https://pith.science/pith/ELQIFZBJ5AOQNO3A5DOGURFEO7.json","graph_json":"https://pith.science/api/pith-number/ELQIFZBJ5AOQNO3A5DOGURFEO7/graph.json","events_json":"https://pith.science/api/pith-number/ELQIFZBJ5AOQNO3A5DOGURFEO7/events.json","paper":"https://pith.science/paper/ELQIFZBJ"},"agent_actions":{"view_html":"https://pith.science/pith/ELQIFZBJ5AOQNO3A5DOGURFEO7","download_json":"https://pith.science/pith/ELQIFZBJ5AOQNO3A5DOGURFEO7.json","view_paper":"https://pith.science/paper/ELQIFZBJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1402.1136&json=true","fetch_graph":"https://pith.science/api/pith-number/ELQIFZBJ5AOQNO3A5DOGURFEO7/graph.json","fetch_events":"https://pith.science/api/pith-number/ELQIFZBJ5AOQNO3A5DOGURFEO7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ELQIFZBJ5AOQNO3A5DOGURFEO7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ELQIFZBJ5AOQNO3A5DOGURFEO7/action/storage_attestation","attest_author":"https://pith.science/pith/ELQIFZBJ5AOQNO3A5DOGURFEO7/action/author_attestation","sign_citation":"https://pith.science/pith/ELQIFZBJ5AOQNO3A5DOGURFEO7/action/citation_signature","submit_replication":"https://pith.science/pith/ELQIFZBJ5AOQNO3A5DOGURFEO7/action/replication_record"}},"created_at":"2026-05-18T02:21:26.593937+00:00","updated_at":"2026-05-18T02:21:26.593937+00:00"}