Life-Span of Solutions to Critical Semilinear Wave Equations
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Publication:5413818
DOI10.1080/03605302.2013.863914zbMath1297.35141arXiv1103.3758OpenAlexW2033381093MaRDI QIDQ5413818
Publication date: 2 May 2014
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1103.3758
Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)
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Cites Work
- Unnamed Item
- The sharp upper bound of the lifespan of solutions to critical semilinear wave equations in high dimensions
- 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
- 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
- Blow-up for solutions of □u=|u|pwith small initial data.
- The equation utt − Δu = |u|p for the critical value of p
- Biow-up of solutions of some nonlinear hyperbolic equations
- An elementary proof of the exponential blow‐up for semi‐linear wave equations
- Weighted Strichartz estimates and global existence for semilinear wave equations
- Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation
- Long-time existence for small amplitude semilinear wave equations
- Finite-Time Blowup for Wave Equations with a Potential
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