Finite time blow up to critical semilinear wave equation outside the ball in 3-D
type: Item
instance of: scholarly article
title: Finite time blow up to critical semilinear wave equation outside the ball in 3-D
zbMATH Open document ID: 1330.35049
author: Ning-An Lai
author: Yi Zhou
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2015-09-09T00:00:00Z
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35L71
Mathematics Subject Classification ID: 35B33
Mathematics Subject Classification ID: 35L20
zbMATH DE Number: 6479795
zbMATH Keywords: exterior problem
zbMATH Keywords: critical power
zbMATH Keywords: lifespan estimate
zbMATH Keywords: small initial data
MaRDI profile type: Publication
full work available at URL: j.na.2015.06.007
OpenAlex ID: W747225965
cites work: Concerning the Strauss Conjecture and Almost Global Existence for Nonlinear Dirichlet-Wave Equations in 4-Dimensions
cites work: Weighted Strichartz estimates and global existence for semilinear wave equations
cites work: Existence in the large for \(cmu=F(u)\) in two space dimensions
cites work: Finite-time blow-up for solutions of nonlinear wave equations
cites work: Concerning the Strauss conjecture for the subcritical and critical cases on the exterior domain in two space dimensions
cites work: On abstract Strichartz estimates and the Strauss conjecture for nontrapping obstacles
cites work: An elementary proof of the blow-up for semilinear wave equation in high space dimensions
cites work: Blow-up of solutions of nonlinear wave equations in three space dimensions
cites work: An elementary proof of Strauss conjecture
cites work: Blow up of solutions to nonlinear wave equation in \(2D\) exterior domains
cites work: The Strauss conjecture on Kerr black hole backgrounds
cites work: Finite-time blow-up for nonlinear wave equations in high dimensions
cites work: The equation utt − Δu = |u|p for the critical value of p
cites work: Nonexistence of global solutions to semilinear wave equations in high dimensions
cites work: Strichartz estimates for Dirichlet-wave equations in two dimensions with applications
cites work: Concerning the wave equation on asymptotically Euclidean manifolds
cites work: Nonlinear scattering theory at low energy
cites work: Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation
cites work: Concerning the Strauss conjecture on asymptotically Euclidean manifolds
cites work: Finite time blow up for critical wave equations in high dimensions
cites work: Generalized Strichartz estimates on perturbed wave equation and applications on Strauss conjecture.
cites work: Lifespan of classical solutions to quasilinear wave equations outside of a star-shaped obstacle in four space dimensions
cites work: Q4858785
cites work: Blow up of solutions to semilinear wave equations with critical exponent in high dimensions
cites work: Blow-up of solutions to semilinear wave equations with variable coefficients and boundary
cites work: Life-Span of Solutions to Critical Semilinear Wave Equations
DOI: 10.1016/J.NA.2015.06.007
Recommended article: Finite time blowup of solutions to semilinear wave equation in an exterior domain
Recommended article: Q5382184
Recommended article: Finite-time blow-up of solutions to semilinear wave equations
Recommended article: Finite time blow up for critical wave equations in high dimensions
Recommended article: Finite-Time Blowup for Wave Equations with a Potential
Recommended article: Blow-up for semilinear wave equations with time-dependent damping in an exterior domain
Recommended article: Finite time blow-up for wave equations with strong damping in an exterior domain
Recommended article: Finite time blow-up for semilinear wave equations with variable coefficients
Recommended article: Blow up in a semilinear wave equation
Recommended article: Finite time blow-up for a kind of initial-boundary value problem of semilinear damped wave equation
description: scientific article; zbMATH DE number 6479795