Global existence for semilinear wave equations with the critical blow-up term in high dimensions

DOI10.1016/j.jde.2016.03.036zbMath1338.35300arXiv1405.0120OpenAlexW2234555276MaRDI QIDQ281650

Hiroyuki Takamura, Kyouhei Wakasa

Publication date: 11 May 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.0120

zbMATH Keywords

lifespanalmost global existencecubic terms in two space dimensionsquadratic terms in three space dimensions

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)

Related Items (2)

Anomalous solutions to nonlinear hyperbolic equations ⋮ Almost global solutions of semilinear wave equations with the critical exponent in high dimensions

Cites Work

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