Blow-up of solutions of some nonlinear wave equations

DOI10.1134/S0012266109010078zbMath1180.35133MaRDI QIDQ731597

Evgeny Galakhov

Publication date: 8 October 2009

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

zbMATH Keywords

compact supportnonnegative initial datanonlinear capacity method

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

Related Items (4)

Global solvability and behavior of solutions of the Cauchy problem for a system of two semilinear hyperbolic equations with dissipation ⋮ On a nonlinear scattering model ⋮ Existence, non-existence and asymptotic behavior of global solutions to the Cauchy problem for systems of semilinear hyperbolic equations with damping terms ⋮ Existence and non-existence of global solutions of the Cauchy problem for higher order semilinear pseudo-hyperbolic equations

Cites Work

• Unnamed Item
• 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
• Finite time blow up for critical wave equations in high dimensions
• The equation u_tt − Δu = |u|^p for the critical value of p
• Weighted Strichartz estimates and global existence for semilinear wave equations
• Finite-Time Blowup for Wave Equations with a Potential

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