UNIFORM ATTRACTORS FOR NON-AUTONOMOUS NONCLASSICAL DIFFUSION EQUATIONS ON ℝN

Title & Authors
UNIFORM ATTRACTORS FOR NON-AUTONOMOUS NONCLASSICAL DIFFUSION EQUATIONS ON ℝN
Anh, Cung The; Nguyen, Duong Toan;

Abstract
We prove the existence of uniform attractors $\small{\mathcal{A}_{\varepsilon}}$ in the space $\small{H^1(\mathbb{R}^N){\cap}L^p(\mathbb{R}^N)}$ for the following non-autonomous nonclassical diffusion equations on $\small{\mathbb{R}^N}$, u_t-{\varepsilon}{\Delta}u_t-{\Delta}u+f(x,u)+{\lambda}u
Keywords
nonclassical diffusion equation;uniform attractor;unbounded domain;upper semicontinuity;tail estimates method;asymptotic a priori estimate method;
Language
English
Cited by
1.
Strong global attractors for nonclassical diffusion equation with fading memory, Advances in Difference Equations, 2017, 2017, 1
2.
Attractors for nonclassical diffusion equations with arbitrary polynomial growth nonlinearity, Nonlinear Analysis: Real World Applications, 2016, 31, 23
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