Partial differential equations
Invariance of the support of solutions for a sixth-order thin film equation
[Invariance du support des solutions d'une équation du sixième ordre modélisant un film mince]
Comptes Rendus. Mathématique, Tome 354 (2016) no. 1, pp. 69-73.

Dans cet article, on étudie l'invariance des solutions d'une équation parabolique du sixième ordre issue d'une application industrielle, l'isolement de l'oxydation du silicium. À partir d'inégalités intégrales, on établit l'invariance du support des solutions.

In this paper, we study the invariance of the support of solutions for a sixth-order nonlinear parabolic equation, which arises in the industrial application of the isolation oxidation of silicium. Based on the suitable integral inequalities, we establish the invariance of the support of solutions.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2015.10.002
Mots clés : Sixth order nonlinear parabolic equation, Degenerate, Invariance of support
Liu, Changchun 1 ; Zhang, Xiaoli 1

1 Department of Mathematics, Jilin University, Changchun 130012, China
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Liu, Changchun; Zhang, Xiaoli. Invariance of the support of solutions for a sixth-order thin film equation. Comptes Rendus. Mathématique, Tome 354 (2016) no. 1, pp. 69-73. doi : 10.1016/j.crma.2015.10.002. http://www.numdam.org/articles/10.1016/j.crma.2015.10.002/

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This work is supported by the National Natural Science Foundation of China (No. 11471164).