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Our results improve previous results of M. Beals [2] and of ourselves [15-17]. We establish Strichartz-type estimates for the linear generalized Tricomi operator $\\partial_t^2 -t^m \\De"},"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":"1608.01826","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-08-05T10:18:46Z","cross_cats_sorted":[],"title_canon_sha256":"57a9b95db660f70ecb133c1034b06f5393e75405a999fff06be373be3000cc2c","abstract_canon_sha256":"f2f6da9b8184561d6bc6622cbd96865f4032d635d63b63b5928ebc14dc92f9c8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:44.508756Z","signature_b64":"j8CTxfglr2YsC5BE/7xAXHyau0T/RgQhdckEEXK7u2s4bJovUk1TByQU20dxDAA4e6CQ6RC8fANohKVhbo+cBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c40530d04c63fccc3b70f711e3d323c006d94c02ecce775147547420cca5880","last_reissued_at":"2026-05-18T01:09:44.508180Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:44.508180Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Minimal regularity solutions of semilinear generalized Tricomi equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Huicheng Yin (Nanjing Normal University), Ingo Witt (University of G\\\"ottingen), Zhuoping Ruan (Nanjing University)","submitted_at":"2016-08-05T10:18:46Z","abstract_excerpt":"We prove the local existence and uniqueness of minimal regularity solutions $u$ of the semilinear generalized Tricomi equation $\\partial_t^2 u-t^m \\Delta u =F(u)$ with initial data $(u(0,\\cdot), \\partial_t u(0,\\cdot)) \\in \\dot{H^{\\gamma}}(\\mathbb R^n) \\times \\dot{H}^{\\gamma-\\frac2{m+2}}(\\mathbb R^n)$ under the assumption that $|F(u)|\\lesssim |u|^\\kappa$ and $|F'(u)| \\lesssim |u|^{\\kappa -1}$ for some $\\kappa>1$. Our results improve previous results of M. Beals [2] and of ourselves [15-17]. 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