Almost global solutions of semilinear wave equations with the critical exponent in high dimensions

DOI10.1016/j.na.2014.06.007zbMath1297.35140arXiv1404.4471OpenAlexW2076086949MaRDI QIDQ399106

Kyouhei Wakasa, Hiroyuki Takamura

Publication date: 19 August 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.4471

zbMATH Keywords

lifespannull conditionDuhamel's formulanon-positive condition

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71) Classical solutions to PDEs (35A09) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

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