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The Boltzmann collision kernel is assumed to be angular non-cutoff with $-3<\\gamma<-2s$ and $1/2\\leq s<1$, where $\\gamma$, $s$ are two parameters describing the kinetic and angular singularities, respectively. We establish the global existence and convergence rates of classical solutions to the Cauchy problem when initial data is near Maxwellians. This extends the results in \\cite{DYZ-h, DYZ-s} for the cutoff kernel with $-2\\leq \\gamma\\leq 1$ to the case $-3<\\gamma<-2"},"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":"1310.2726","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-10T08:00:39Z","cross_cats_sorted":[],"title_canon_sha256":"403e80dc0e843f0db2723e20670d743694d5b98ebb4b542c0f6e09f5ec8065e5","abstract_canon_sha256":"d4a0747caa5ef9ea9fb86c59db9f8397a7f97b36087bdd85c23f1edbe8581faa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:47:07.113284Z","signature_b64":"wqV9l8gms/oGpFS6AGeose2LmTNplqppqM/cB9s50PoNK3zrISWn6KEIZXkD22eAUdtM/iTh0FD6lHDIgzVFBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4659668d023e10e7e395d7c93e213ace3ff6e2069f9413696fc496ad4c8e6663","last_reissued_at":"2026-05-18T01:47:07.112800Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:47:07.112800Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Vlasov-Poisson-Boltzmann system without angular cutoff","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Renjun Duan, Shuangqian Liu","submitted_at":"2013-10-10T08:00:39Z","abstract_excerpt":"This paper is concerned with the Vlasov-Poisson-Boltzmann system for plasma particles of two species in three space dimensions. 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