An elementary proof of the blow-up for semilinear wave equation in high space dimensions

DOI10.1016/S0022-0396(02)00041-4zbMath1016.35049OpenAlexW2047699725MaRDI QIDQ1874334

Hengli Jiao, Zhengfang Zhou

Publication date: 25 May 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-0396(02)00041-4

zbMATH Keywords

semilinear wave equationblow-upcritical exponenta priori estimate

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05) A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15)

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Cites Work

• Existence in the large for \(cmu=F(u)\) in two space dimensions
• Global behavior of solutions to nonlinear wave equations in three dimensions
• The equation u_tt − Δu = |u|^p for the critical value of p
• Finite-time blow-up for nonlinear wave equations in high dimensions
• Blow-up for quasi-linear wave equations in three space dimensions
• Weighted Strichartz estimates and global existence for semilinear wave equations
• Long-time existence for small amplitude semilinear wave equations

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