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Zhijian Yang (2009)
Longtime behavior for a nonlinear wave equation arising in elasto‐plastic flowMathematical Methods in the Applied Sciences, 32
J. Rivera, D. Andrade (2000)
Exponential Decay of Non-linear Wave Equation with a Viscoelastic Boundary ConditionMathematical Methods in The Applied Sciences, 23
J. Rivera, L. Fatori (1997)
Smoothing Effect and Propagations of Singularities for Viscoelastic PlatesJournal of Mathematical Analysis and Applications, 206
S. Maia, M. Miranda (2009)
Existence and decay of solutions of an abstract second order nonlinear problemJournal of Mathematical Analysis and Applications, 358
J. Greenberg (1969)
On the existence, uniqueness, and stability of solutions of the equation PP0Xtt = E(Xx)Xxx + κXxxtJournal of Mathematical Analysis and Applications, 25
A. Biazutti (1995)
On a nonlinear evolution equation and its applicationsNonlinear Analysis-theory Methods & Applications, 24
E. Zuazua (1990)
Exponential Decay for The Semilinear Wave Equation with Locally Distributed DampingCommunications in Partial Differential Equations, 15
M. Cavalcanti, V. Cavalcanti, T. Ma (2004)
Exponential decay of the viscoelastic Euler-Bernoulli equation with a nonlocal dissipation in general domainsDifferential and Integral Equations
M. Cavalcanti, H. Oquendo (2003)
Frictional versus Viscoelastic Damping in a Semilinear Wave EquationSIAM J. Control. Optim., 42
L. Protsak, I. Parasyuk, Yulia Horishna (2008)
Integral representation of solutions to boundary-value problems on the half-line for linear ODEs with singularity of the first kindElectronic Journal of Differential Equations, 2008
S. Messaoudi (2005)
On the decay of solutions for a class of quasilinear hyperbolic equations with non‐linear damping and source termsMathematical Methods in the Applied Sciences, 28
C. Dafermos, J. Nohel (1979)
Energy methods for nonlinear hyperbolic volterra integrodifferential equationsCommunications in Partial Differential Equations, 4
T. Ma, J. Soriano (1999)
On weak solutions for an evolution equation with exponential nonlinearitiesNonlinear Analysis-theory Methods & Applications, 37
C. Dafermos (1970)
Asymptotic stability in viscoelasticityArchive for Rational Mechanics and Analysis, 37
L. An, A. Peirce (1994)
The Effect of Microstructure on Elastic-Plastic ModelsSIAM J. Appl. Math., 54
I. Chueshov, I. Lasiecka (2006)
Existence, uniqueness of weak solutions and global attractors for a class of nonlinear 2D Kirchhoff-Boussinesq modelsDiscrete and Continuous Dynamical Systems, 15
Yang Zhijian, Jin Baoxia (2009)
Global attractor for a class of Kirchhoff modelsJournal of Mathematical Physics, 50
A. Benaissa, A. Guesmia (2008)
ENERGY DECAY FOR WAVE EQUATIONS OF φ-LAPLACIAN TYPE WITH WEAKLY NONLINEAR DISSIPATION
L. An, A. Peirce (1995)
A Weakly Nonlinear Analysis of Elasto-plastic-Microstructure ModelsSIAM J. Appl. Math., 55
J. Rivera (1994)
Asymptotic behaviour in linear viscoelasticityQuarterly of Applied Mathematics, 52
M. Sango (2009)
On a nonlinear hyperbolic equation with anisotropy: Global existence and decay of solutionNonlinear Analysis-theory Methods & Applications, 70
J. Lions (2017)
Quelques méthodes de résolution de problèmes aux limites non linéaires
M. Tsutsumi (1971)
Some nonlinear evolution equations of second order, 47
Greenberg (1968)
On the existence, uniqueness, and stability of solutions of the equation σ′(ux)uxx+λuxtx=ρ0uttJournal of Mathematics and Mechanics, 17
Zhijian Yang (2010)
Global attractors and their Hausdorff dimensions for a class of Kirchhoff modelsJournal of Mathematical Physics, 51
This paper is concerned with the energy decay for a class of plate equations with memory and lower order perturbation of p‐Laplacian type, utt+Δ2u−Δpu+∫0tg(t−s)Δu(s)ds−Δut+f(u)=0inΩ×R+, with simply supported boundary condition, where Ω is a bounded domain of RN, g > 0 is a memory kernel that decays exponentially and f(u) is a nonlinear perturbation. This kind of problem without the memory term models elastoplastic flows. Copyright © 2012 John Wiley & Sons, Ltd.
Mathematical Methods in the Applied Sciences – Wiley
Published: Mar 15, 2013
Keywords: ; ; ; ;
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