Variational inequality for quasilinear wave equations with nonlinear damping terms

DOI10.1016/S0362-546X(00)00239-XzbMath1004.35100OpenAlexW1996020088MaRDI QIDQ1612622

Jeong Ja Bae, Jong Yeoul Park

Publication date: 25 August 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(00)00239-x

zbMATH Keywords

Galerkin methodpenalizationa priori estimatesexistence of a solutionunilateral problem

Mathematics Subject Classification ID

Variational inequalities (49J40) Degenerate hyperbolic equations (35L80)

Related Items (7)

Uniform decay of solution for wave equation of Kirchhoff type with nonlinear boundary damping and memory term ⋮ General decay and blow-up of solutions for a system of viscoelastic equations of Kirchhoff type with strong damping ⋮ Global existence and energy decay for a coupled system of Kirchhoff type equations with damping and source terms ⋮ Kirchhoff-type system with linear weak damping and logarithmic nonlinearities ⋮ Exponential energy decay of solutions for a system of viscoelastic wave equations of Kirchhoff type with strong damping ⋮ On coupled wave equation of Kirchhoff type with nonlinear boundary damping and memory term ⋮ Global existence and blow up of solutions for some hyperbolic systems with damping and source terms

Cites Work

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• Global existence, decay, and blowup of solutions for some mildly degenerate nonlinear Kirchhoff strings
• Local solutions for a nonlinear degenerate Hyperbolic equation
• Exponential decay for a nonlinear system of hyperbolic equations with locally distributed dampings
• Variational inequality for a nonlinear model of the oscillations of beams
• Non-Linear vibration of an elastic string
• Equivalent Norms for Sobolev Spaces
• On global existence and uniqueness for the unilateral problem associated to the degenerated Kirchhoff equation

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