Electron. J. Diff. Equ., Vol. 2012 (2012), No. 112, pp. 1-18.

Propagation of perturbations for a sixth-order thin film equation

Zhenbang Li, Changchun Liu

Abstract:
We consider an initial-boundary problem for a sixth-order thin film equation, which arises in the industrial application of the isolation oxidation of silicon. Relying on some necessary uniform estimates of the approximate solutions, we prove the existence of radial symmetric solutions to this problem in the two-dimensional space. The nonnegativity and the finite speed of propagation of perturbations of solutions are also discussed.

Submitted January 31, 2012. Published July 3, 2012.
Math Subject Classifications: 35D05, 35G25, 35Q99, 76A20.
Key Words: Sixth-order thin film equation; radial solution; existence; finite speed of propagation.

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Zhenbang Li
Department of Mathematics, Jilin University
Changchun 130012, China
email: jamesbom23@yahoo.com.cn
Changchun Liu
Department of Mathematics, Jilin University
Changchun 130012, China
email: liucc@jlu.edu.cn

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