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| Global Attractor for a Fourth-order Parabolic Equation |
| Xiaopeng Zhao, Changchun Liu, Bo Liu |
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Abstract This paper is concerned with a fourth-order parabolic equation which arises in epitaxial growth of nanoscale thin films. The dynamic properties of parabolic equations such as global attractors are
important for the study of parabolic system, which ensure the stability of parabolic phenomena and provide the mathematical foundation for the study of parabolic dynamics. So in this paper we are interested in the existence of global attractors. We use regularity estimates for the semigroups and a classical existence theorem of global attractor to derive that the fourth-order parabolic equation possesses global attractors on some affined subspace of H2.
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