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Global attractors for the one dimensional wave equation with displacement dependent damping
Attractors wave equations
2011/2/24
We study the long-time behavior of solutions of the one dimensional wave equation with nonlinear damping coefficient. We prove that if the damping coefficient function is strictly
positive near the o...
Global Attractors for a Nonclassical Diffusion Equation
nonclassical diffusion equation critical exponent polynomial growth of arbitrary order global attractor asymptotic a priori estimate
2007/12/10
We prove the existence of global attractors in $H_0^1(\Omega)$ for a nonclassical diffusion equation. Two types of nonlinearity $f$ are considered: one is the critical exponent, and the other is the p...