The asymptotic behaviour of solutions for a class of quasilinear wave equations with cubic nonlinearity in two space dimensions

DOI10.1007/BF02679895zbMath0956.35090OpenAlexW413626349MaRDI QIDQ1582576

Hui Cheng Yin

Publication date: 7 March 2001

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02679895

zbMATH Keywords

small initial datanonlinear geometric opticslower bound of lifespan of classical solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (1)

Existence of solutions to strongly damped quasilinear wave equations

Cites Work

• Unnamed Item
• Blowup of small data solutions for a quasilinear wave equation in two space dimensions.
• Lifespan and blow-up of solutions of the quasilinear wave equations in two dimensions. II
• The blowup mechanism for 3-D quasilinear wave equations with small data
• Blowup of small data solutions for a class of quasilinear wave equations in two space dimensions. II
• The blowup of radially symmetric solutions for 2-D quasilinear wave equations with cubic nonlinearity
• Lifespan of solutions of semilinear wave equations in two space dimensions
• Approximation Près du Temps d’Explosion des Solutions d’Équations d’Onde Quasi-Linéaires en Dimension Deux

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