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Applicable Analysis
An International Journal
Volume 95, 2016 - Issue 3
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Articles

Some properties of solutions for a parabolic equation modeling epitaxial thin film growth

Pages 584-598 | Received 10 Nov 2014, Accepted 09 Feb 2015, Published online: 16 Mar 2015
 

Abstract

In this paper, we study a fourth-order parabolic equation with Dirichlet boundary which arises in epitaxial growth of nanoscale thin films. We proved the equation with condition possesses a global attractor in , which attracts any bounded subset of in the -norm. In addition to this, we consider the equation under the conditions is blow-up.

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No potential conflict of interest was reported by the author.

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