Finite time blow up to critical semilinear wave equation outside the ball in 3-D

DOI10.1016/j.na.2015.06.007zbMath1330.35049OpenAlexW747225965MaRDI QIDQ495250

Ning-An Lai, Yi Zhou

Publication date: 9 September 2015

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.2015.06.007

zbMATH Keywords

small initial datacritical powerexterior problemlifespan estimate

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Critical exponents in context of PDEs (35B33) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

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Blow up for initial-boundary value problem of wave equation with a nonlinear memory in 1-D, Blow-up analysis for two kinds of nonlinear wave equations, Nonexistence of global solutions to critical semilinear wave equations in exterior domain in high dimensions, Blow up for initial boundary value problem of critical semilinear wave equation in two space dimensions, Lifespan estimates for critical semilinear wave equations and scale invariant damped wave equations in exterior domain in high dimensions, A general blow-up result for a degenerate hyperbolic inequality in an exterior domain, New blow-up phenomena for hyperbolic inequalities with combined nonlinearities, 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, On the critical behavior for inhomogeneous wave inequalities with Hardy potential in an exterior domain, Blowup for semilinear wave equation with space-dependent damping and combined nonlinearities

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