Concerning the Strauss conjecture for the subcritical and critical cases on the exterior domain in two space dimensions

DOI10.1016/J.NA.2013.02.013zbMath1282.35244OpenAlexW1981592883WikidataQ122928035 ScholiaQ122928035MaRDI QIDQ388478

Wei Han

Publication date: 19 December 2013

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.2013.02.013

zbMATH Keywords

lifespanupper bound for the blow-up time

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)

Related Items (9)

Nonexistence of global solutions to critical semilinear wave equations in exterior domain in high 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 the semilinear wave equation with scale invariant damping on exterior domain ⋮ Finite time blow-up for wave equations with strong damping in an exterior domain ⋮ Finite time blow up to critical semilinear wave equation outside the ball in 3-D ⋮ Blow up of critical semilinear wave equations on Schwarzschild spacetime ⋮ Blow-up of solution to semilinear wave equations with strong damping and scattering damping ⋮ Blowup for semilinear wave equation with space-dependent damping and combined nonlinearities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Blow-up of solutions to semilinear wave equations with variable coefficients and boundary
• Concerning the wave equation on asymptotically Euclidean manifolds
• Nonexistence of global solutions to semilinear wave equations in high dimensions
• Finite-time blow-up for solutions of nonlinear wave equations
• Existence in the large for \(cmu=F(u)\) in two space dimensions
• Nonlinear scattering theory at low energy
• Blow-up of solutions of nonlinear wave equations in three space dimensions
• Life span of classical solutions to \(\square u = | u | ^ p\) in two space dimensions
• An elementary proof of the blow-up for semilinear wave equation in high space dimensions
• Finite time blow up for critical wave equations in high dimensions
• Blow up of solutions to semilinear wave equations with critical exponent in high dimensions
• Harmonic Function Theory
• On abstract Strichartz estimates and the Strauss conjecture for nontrapping obstacles
• The equation u_tt − Δu = |u|^p for the critical value of p
• Finite-time blow-up for nonlinear wave equations in high dimensions
• An elementary proof of the exponential blow‐up for semi‐linear wave equations
• Weighted Strichartz estimates and global existence for semilinear wave equations
• Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation
• Long-time existence for small amplitude semilinear wave equations
• Finite-Time Blowup for Wave Equations with a Potential

This page was built for publication: Concerning the Strauss conjecture for the subcritical and critical cases on the exterior domain in two space dimensions