Global existence of strong solutions to a class of fully nonlinear wave equations with strongly damped terms

DOI10.1155/2012/805158zbMath1254.35050OpenAlexW2102341398WikidataQ58907384 ScholiaQ58907384MaRDI QIDQ1760845

Zhigang Pan, Hong Luo, Tian Ma

Publication date: 15 November 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/805158

zbMATH Keywords

Galerkin approximationspatial sequence technique

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Strong solutions to PDEs (35D35)

Related Items (1)

Structural stability analysis of solutions to the initial boundary value problem for a nonlinear strongly damped wave equation

Cites Work

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• Bounded, locally compact global attractors for semilinear damped wave equations on \(\mathbb{R}^ N\)
• Global existence of weak solutions for two-dimensional semilinear wave equations with strong damping in an exterior domain
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• Existence and Asymptotic Behavior for a Strongly Damped Nonlinear Wave Equation
• Strong Solutions of a Quasilinear Wave Equation with Nonlinear Damping
• On the existence of solutions to the equation \(u_{tt}=u_{xxt}+\sigma (u_x)_x\)

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