A blow-up theorem for a discrete semilinear wave equation

DOI10.1080/10236198.2011.651134zbMath1262.39013arXiv1107.1917OpenAlexW2070634458MaRDI QIDQ4916361

Keisuke Matsuya

Publication date: 22 April 2013

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.1917

zbMATH Keywords

discretizationsemilinear wave equationblow updifference equation

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Blow-up in context of PDEs (35B44) Partial difference equations (39A14) Second-order semilinear hyperbolic equations (35L71)

Cites Work

• 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
• Blow-up of solutions of nonlinear wave equations in three space dimensions
• Finite time blow up for critical wave equations in high dimensions
• The equation u_tt − Δu = |u|^p for the critical value of p
• Biow-up of solutions of some nonlinear hyperbolic equations
• Weighted Strichartz estimates and global existence for semilinear wave equations

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