Electron. J. Diff. Equ., Vol. 2015 (2015), No. 272, pp. 1-12.

Pullback attractor of a nonautonomous fourth-order parabolic equation modeling epitaxial thin film growth

Ning Duan, Xiaopeng Zhao

Abstract:
We study a nonautonomous fourth-order parabolic equation modeling epitaxial thin film growth. It is shown that a pullback attractor of the model exists when the external force has exponential growth.

Submitted July 30, 2015. Published October 21, 2015.
Math Subject Classifications: 35Q35, 35B40, 35B41.
Key Words: Pullback attractor; asymptotic compactness; nonautonomous fourth-order parabolic equation.

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Ning Duan
School of Science, Jiangnan University
Wuxi 214122, China
email: 123332453@qq.com
Xiaopeng Zhao
Department of Mathematics, Southeast University
Nanjing 210096, China
email: zhaoxiaopeng@sina.cn

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