Nonexistence of global solutions to critical semilinear wave equations in exterior domain in high dimensions

DOI10.1016/J.NA.2016.05.010zbMath1353.35075OpenAlexW2416979652MaRDI QIDQ2629920

Yi Zhou, Ning-An Lai

Publication date: 8 July 2016

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

Full work available at URL: https://doi.org/10.1016/j.na.2016.05.010

zbMATH Keywords

exterior problemcritical semilinear wave equations

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

Related Items (9)

Blow-up analysis for two kinds of nonlinear wave equations ⋮ Blow up for initial boundary value problem of critical semilinear wave equation in two space dimensions ⋮ Lifespan estimates of solutions to quasilinear wave equations with scattering damping ⋮ Lifespan estimates for critical semilinear wave equations and scale invariant damped wave equations in exterior domain in high dimensions ⋮ Blow-up of solutions to critical semilinear wave equations with variable coefficients ⋮ Lifespan estimates for 2-dimensional semilinear wave equations in asymptotically Euclidean exterior domains ⋮ Blow up for systems of wave equations in exterior domain ⋮ Finite time blowup of solutions to semilinear wave equation in an exterior domain ⋮ Blowup for semilinear wave equation with space-dependent damping and combined nonlinearities

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