The existence of global attractor for a fourth-order parabolic equation

@inproceedings{Zhao2013TheEO,
  title={The existence of global attractor for a fourth-order parabolic equation},
  author={Xiaopeng Zhao and Changchun Liu},
  year={2013}
}
This paper is concerned with a sixth-order parabolic equation which arises naturally as a continuum model for the formation of quantum dots and their faceting. Based on the regularity estimates for the semigroups, iteration technique and the classical existence theorem of global attractors, we prove that the sixth order parabolic equation possesses a global attractor in the H (k ≥ 0) space, which attracts any bounded subset of H(Ω) in the H-norm. 

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