Blow up for systems of wave equations in exterior domain

DOI10.1007/s11401-019-0137-5zbMath1437.35469OpenAlexW2942656094WikidataQ127951313 ScholiaQ127951313MaRDI QIDQ2002156

Xiuwen Luo

Publication date: 11 July 2019

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-019-0137-5

zbMATH Keywords

test function methodupper bound of lifespan

Mathematics Subject Classification ID

Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Cites Work

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• Blow up of solutions to nonlinear wave equation in \(2D\) exterior domains
• Finite time blow up to critical semilinear wave equation outside the ball in 3-D
• The sharp upper bound of the lifespan of solutions to critical semilinear wave equations in high dimensions
• Blow-up of solutions to semilinear wave equations with variable coefficients and boundary
• 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
• Blow up for initial boundary value problem of critical semilinear wave equation in two space dimensions
• An elementary proof of Strauss conjecture
• Blow up for initial-boundary value problem of wave equation with a nonlinear memory in 1-D
• Finite time blow up for critical wave equations in high dimensions
• The lifespan of solutions to nonlinear systems of a high-dimensional wave equation
• Nonexistence of global solutions to critical semilinear wave equations in exterior domain in high dimensions
• Blow up of solutions to semilinear wave equations with critical exponent in high dimensions
• Strichartz estimates for Dirichlet-wave equations in two dimensions with applications
• Concerning the Strauss Conjecture and Almost Global Existence for Nonlinear Dirichlet-Wave Equations in 4-Dimensions
• On abstract Strichartz estimates and the Strauss conjecture for nontrapping obstacles
• The equation u_tt − Δu = |u|^p for the critical value of p
• Long-time existence for small amplitude semilinear wave equations