On a quasilinear wave equation with nonlinear damping

DOI10.1017/S0308210500022216zbMath0673.35077MaRDI QIDQ3826987

Dang Dinh Hai

Publication date: 1988

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

uniquenessasymptotic behaviourglobal existencequasilinearnonlinear dampingforcing terminitial and boundary value probleminitial dataclassical Galerkin method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70) Theoretical approximation in context of PDEs (35A35)

Related Items (3)

On a wave equation with nonlinear strong damping ⋮ On a doubly damped quasilinear wave equation ⋮ An explicit lower bound for blow up time in a class of nonlinear wave equations with nonlinear damping and source terms

Cites Work

• Asymptotic behaviour and changes of phase in one-dimensional nonlinear viscoelasticity
• On the existence, uniqueness, and stability of solutions of the equation \(p_0 {\mathfrak X}_{tt} = E({\mathfrak X}_ x) {\mathfrak X}_{xx} +\lambda {\mathfrak X}_{xxt}\)
• The mixed initial-boundary value problem for the equations of nonlinear one-dimensional viscoelasticity
• Quasilinear wave equations and related nonlinear evolution equations
• On the Existence and Uniqueness of Solutions of the Equation
• Forced oscillations for the solutions of a nonlinear hyperbolic equation

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