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Also, we provide a sufficient condition associated with equation $\\prt\\_tu-\\Delta u+e^u-1=0$ . Besides, we apply our results to equation: $\\prt\\_tu-\\Delta u+a|\\nabla u|^p+bu^{q}=0$ for $a,b\\textgreater{}0$, $11$."},"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":"1406.3850","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-06-15T19:14:17Z","cross_cats_sorted":[],"title_canon_sha256":"3527684ca5faa12cbb861d61590327818b158b1a42c501345d0d289edec4e795","abstract_canon_sha256":"9bbfada8cfd93c08e4dd298146c11cf14f6cb9ddeb7fcf0e888411301f34190f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:25:55.807122Z","signature_b64":"pjYcnhT4K7/NOcy+MwE6LfO8MCJG1kyvdRZjJXFVr5GrpHKH3PY+JkCgMrNdTq7L8kZbO46DMe2opjz+bo/AAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a7122f9f2bf09dfe335467bf488399c586888e21190bb519e4fbc4a288ce6319","last_reissued_at":"2026-05-18T01:25:55.806481Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:25:55.806481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Wiener criteria for existence of large solutions of nonlinear parabolic equations with absorption in a non-cylindrical domain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Laurent Veron (LMPT), Quoc-Hung Nguyen (LMPT)","submitted_at":"2014-06-15T19:14:17Z","abstract_excerpt":"We obtain a necessary and a sufficient condition expressed in terms of Wiener type tests involving the parabolic $W\\_{q'}^{2,1}$- capacity, where $q'=\\frac{q}{q-1}$, for the existence of large solutions to equation $\\prt\\_tu-\\Delta u+u^q=0$ in non-cylindrical domain, where $q\\textgreater{}1$. Also, we provide a sufficient condition associated with equation $\\prt\\_tu-\\Delta u+e^u-1=0$ . Besides, we apply our results to equation: $\\prt\\_tu-\\Delta u+a|\\nabla u|^p+bu^{q}=0$ for $a,b\\textgreater{}0$, $11$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.3850","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":"1406.3850","created_at":"2026-05-18T01:25:55.806594+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.3850v3","created_at":"2026-05-18T01:25:55.806594+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.3850","created_at":"2026-05-18T01:25:55.806594+00:00"},{"alias_kind":"pith_short_12","alias_value":"U4JC7HZL6CO7","created_at":"2026-05-18T12:28:52.271510+00:00"},{"alias_kind":"pith_short_16","alias_value":"U4JC7HZL6CO74M2U","created_at":"2026-05-18T12:28:52.271510+00:00"},{"alias_kind":"pith_short_8","alias_value":"U4JC7HZL","created_at":"2026-05-18T12:28:52.271510+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/U4JC7HZL6CO74M2UM67URA4ZYW","json":"https://pith.science/pith/U4JC7HZL6CO74M2UM67URA4ZYW.json","graph_json":"https://pith.science/api/pith-number/U4JC7HZL6CO74M2UM67URA4ZYW/graph.json","events_json":"https://pith.science/api/pith-number/U4JC7HZL6CO74M2UM67URA4ZYW/events.json","paper":"https://pith.science/paper/U4JC7HZL"},"agent_actions":{"view_html":"https://pith.science/pith/U4JC7HZL6CO74M2UM67URA4ZYW","download_json":"https://pith.science/pith/U4JC7HZL6CO74M2UM67URA4ZYW.json","view_paper":"https://pith.science/paper/U4JC7HZL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.3850&json=true","fetch_graph":"https://pith.science/api/pith-number/U4JC7HZL6CO74M2UM67URA4ZYW/graph.json","fetch_events":"https://pith.science/api/pith-number/U4JC7HZL6CO74M2UM67URA4ZYW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/U4JC7HZL6CO74M2UM67URA4ZYW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/U4JC7HZL6CO74M2UM67URA4ZYW/action/storage_attestation","attest_author":"https://pith.science/pith/U4JC7HZL6CO74M2UM67URA4ZYW/action/author_attestation","sign_citation":"https://pith.science/pith/U4JC7HZL6CO74M2UM67URA4ZYW/action/citation_signature","submit_replication":"https://pith.science/pith/U4JC7HZL6CO74M2UM67URA4ZYW/action/replication_record"}},"created_at":"2026-05-18T01:25:55.806594+00:00","updated_at":"2026-05-18T01:25:55.806594+00:00"}