DCDS
Global attractors for strongly damped wave equations with displacement dependent damping and nonlinear source term of critical exponent
A. Kh. Khanmamedov
In this paper the long time behaviour of the solutions of the 3-D strongly damped wave equation is studied. It is shown that the semigroup generated by this equation possesses a global attractor in $H_{0}^{1}(\Omega )\times L_{2}(\Omega )$ and then it is proved that this is also a global attractor in $(H^{2}(\Omega )\cap H_{0}^{1}(\Omega ))\times H_{0}^{1}(\Omega )$.
keywords: Attractors strongly damped wave equations.
DCDS
Long-time behaviour of wave equations with nonlinear interior damping
A. Kh. Khanmamedov
We prove the existence of attractors for higher dimensional wave equations with nonlinear interior damping which grows faster than polynomials at infinity.
keywords: Attractors wave equations.
CPAA
Long-time behaviour of doubly nonlinear parabolic equations
A. Kh. Khanmamedov
We consider a doubly nonlinear parabolic equation in $R^n$. Under suitable hypotheses we prove that a semigroup generated by this equation possesses a global attractor.
keywords: nonlinear parabolic equations. Attractors

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