Blow-up of solutions to semilinear wave equations with non-zero initial data

DOI10.3934/proc.2015.1105zbMath1343.35046OpenAlexW2312545891MaRDI QIDQ260971

Kyouhei Wakasa

Publication date: 22 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/proc.2015.1105

zbMATH Keywords

blow-upinitial value problemsemilinear wave equationspointwise estimateshigh dimensions

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

Related Items (1)

Blow-up and lifespan estimate for wave equations with critical damping term of space-dependent type related to Glassey conjecture

Cites Work

• Blow-up of positive solutions to wave equations in high space dimensions.
• The Glassey conjecture with radially symmetric data
• Blow-up of solutions to nonlinear wave equations in two space dimensions
• Blow-up for semilinear wave equations with initial data of slow decay in low space dimensions
• Blow-up for semilinear wave equations with slowly decaying data in high dimensions
• Existence of global solutions to nonlinear massless Dirac system and wave equation with small data
• Global behavior of solutions to nonlinear wave equations in three dimensions
• Finite-Time Blow-Up for in Two Space Dimensions
• Finite-time blow-up for nonlinear wave equations in high dimensions
• Blow-up for quasi-linear wave equations in three space dimensions
• Initial value problem of semilinear wave equations in three space dimensions
• Global existence and asymptotic behavior of solutions for nonlinear wave equations
• Blow up of solutions to the Cauchy problem for nonlinear wave equations

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