Revisit to Fritz John's paper on the blow-up of nonlinear wave equations

DOI10.1016/J.AML.2015.11.012zbMath1347.35174arXiv1510.08422OpenAlexW2192419485MaRDI QIDQ2635056

Zhengfang Zhou, Xin Yang

Publication date: 11 February 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.08422

zbMATH Keywords

compactly supported initial dataGronwall's type inequality

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)

Related Items (1)

Blow-up solutions to the semilinear wave equation with overdamping term

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
• Nonlinear scattering theory at low energy
• Blow-up of solutions of nonlinear wave equations in three space dimensions
• An elementary proof of the blow-up for semilinear wave equation in high space dimensions
• An elementary proof of Strauss conjecture
• 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
• 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
• Long-time existence for small amplitude semilinear wave equations

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