On damped Kirchhoff equation with variable coefficients

DOI10.1016/j.jmaa.2004.12.032zbMath1128.35371OpenAlexW2030002873MaRDI QIDQ557013

Juan Limaco, Luis Adauto da Justa Medeiros, Haroldo R. Clark

Publication date: 23 June 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.12.032

zbMATH Keywords

UniquenessEnergy decay rateGlobal solutionsNonlinear dampingQuasi-linear Kirchhoff equation

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Second-order nonlinear hyperbolic equations (35L70)

Related Items (6)

The family of random attractors for nonautonomous stochastic higher-order Kirchhoff equations with variable coefficients ⋮ On global adaptive stabilization of a Kirchhoff moving string with variable density ⋮ Vibrations of elastic string with nonhomogeneous material ⋮ On a nonlinear thermoelastic system with nonlocal coefficients ⋮ Existence of local solutions of the Kirchhoff-Carrier equation in Banach spaces ⋮ On a terminal value problem for a system of parabolic equations with nonlinear-nonlocal diffusion terms

Cites Work

• On global solutions and energy decay for the wave equations of Kirchhoff type with nonlinear damping terms
• Global solvability and decay of the energy for the nonhomogeneous Kirchhoff equation
• Some nonlinear degenerate wave equations
• ON A CLASS OF QUASILINEAR HYPERBOLIC EQUATIONS
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