scientific article; zbMATH DE number 1529124

zbMath0965.35197MaRDI QIDQ4515451

Laurent Véron, Pohozaev, Stanislav I.

Publication date: 29 July 2001

Full work available at URL: http://www.numdam.org/item?id=ASNSP_2000_4_29_2_393_0

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zbMATH Keywords

dimensional analysisrescaling techniquesnonexistence of global weak solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Partial differential inequalities and systems of partial differential inequalities (35R45) Second-order nonlinear hyperbolic equations (35L70)

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Cites Work

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• Nonexistence of global solutions to semilinear wave equations in high dimensions
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• Nonlinear scattering theory at low energy
• Blow-up of solutions of nonlinear wave equations in three space dimensions
• Positive solutions of quasilinear Emden-Fowler systems of arbitrary order
• On the critical decay and power for semilinear wave equations in odd space dimensions
• The absence of global positive solutions of quasilinear elliptic inequalities
• Blowup for nonlinear hyperbolic equations
• Blow-up theorems for nonlinear wave equations
• 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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