Global existence for quasi-linear dissipative wave equations with large data and small parameter

DOI10.1007/BF01163297zbMath0648.35051MaRDI QIDQ1105123

Albert J. Milani

Publication date: 1988

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173927

zbMATH Keywords

global existenceparametersmooth solutionquasi-linear initial value problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) First-order nonlinear hyperbolic equations (35L60) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (5)

Time-periodic solutions to quasilinear telegraph equations with large data ⋮ Weakly damped quasilinear wave equation: existence of time-periodic solutions ⋮ Unnamed Item ⋮ Existence of global smooth solutions to the initial-boundary value problem for the quasi-linear wave equation with a degenerate dissipative term ⋮ Compensated compactness and time-periodic solutions to non-autonomous quasilinear telegraph equations

Cites Work

• On the damped nonlinear evolution equation \(w_{tt}=\sigma(w)_{xx}- \gamma w_ t\)
• Existence and non-existence of global smooth solutions for quasilinear hyperbolic systems
• Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
• Unnamed Item
• Unnamed Item

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