Lifespan and blow-up of solutions of the quasilinear wave equations in two dimensions. II

DOI10.1215/S0012-7094-94-07322-5zbMath0844.35102MaRDI QIDQ1325142

Serge Alinhac

Publication date: 3 September 1996

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

wave equationenergy inequalitylife time

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Wave equation (35L05)

Related Items (7)

A note on a nonlinear wave equation in two and three space dimensions ⋮ Explosion des solutions d'une équation d'ondes quasi-linéaire en deux dimensions d'espace ⋮ Counter-examples to concentration-cancellation ⋮ The blowup mechanism of small data solutions for the quasilinear wave equations in three space dimensions ⋮ Unnamed Item ⋮ The asymptotic behaviour of solutions for a class of quasilinear wave equations with cubic nonlinearity in two space dimensions ⋮ Blowup of small data solutions for a class of quasilinear wave equations in two space dimensions. II

Cites Work

• Compressible fluid flow and systems of conservation laws in several space variables
• Weighted L∞ and L1 estimates for solutions to the classical wave equation in three space dimensions
• Almost global existence to nonlinear wave equations in three space dimensions
• Uniform decay estimates and the lorentz invariance of the classical wave equation
• Existence for large times of strict solutions of nonlinear wave equations in three space dimensions for small initial data
• Approximation Près du Temps d’Explosion des Solutions d’Équations d’Onde Quasi-Linéaires en Dimension Deux
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Lifespan and blow-up of solutions of the quasilinear wave equations in two dimensions. II