{"paper":{"title":"A note on the blowup of scale invariant damping wave equation with sub-Strauss exponent","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Jiayun Lin, Ziheng Tu","submitted_at":"2017-09-04T08:55:20Z","abstract_excerpt":"We concern the blow up problem to the scale invariant damping wave equations with sub-Strauss exponent. This problem has been studied by Lai, Takamura and Wakasa (\\cite{Lai17}) and Ikeda and Sobajima \\cite{Ikedapre} recently. In present paper, we extend the blowup exponent from $p_F(n)\\leq p<p_S(n+2\\mu)$ to $1<p<p_S(n+\\mu)$ without small restriction on $\\mu$. Moreover, the upper bound of lifespan is derived with uniform estimate $T(\\varepsilon)\\leq C\\varepsilon^{-2p(p-1)/\\gamma(p,n+2\\mu)}$. This result extends the blowup result of semilinear wave equation and shows the wave-like behavior of sc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.00866","kind":"arxiv","version":2},"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"}