Invariance of the support of solutions for a sixth-order thin film equation

Changchun Liu; Xiaoli Zhang

doi:10.1016/j.crma.2015.10.002

Partial differential equations

Invariance of the support of solutions for a sixth-order thin film equation

Presented by: the Editorial Board

Changchun Liu ¹; Xiaoli Zhang ¹

¹ Department of Mathematics, Jilin University, Changchun 130012, China

Comptes Rendus. Mathématique, Volume 354 (2016) no. 1, pp. 69-73.

Abstract
Résumé

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.

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.

Received: 2015-06-15
Accepted: 2015-10-02
Published online: 2015-10-29

DOI: 10.1016/j.crma.2015.10.002

Keywords: Sixth order nonlinear parabolic equation, Degenerate, Invariance of support

Author's affiliations:

Changchun Liu ¹; Xiaoli Zhang ¹

¹ Department of Mathematics, Jilin University, Changchun 130012, China

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     title = {Invariance of the support of solutions for a sixth-order thin film equation},
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     pages = {69--73},
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     year = {2016},
     doi = {10.1016/j.crma.2015.10.002},
     language = {en},
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Changchun Liu; Xiaoli Zhang. Invariance of the support of solutions for a sixth-order thin film equation. Comptes Rendus. Mathématique, Volume 354 (2016) no. 1, pp. 69-73. doi : 10.1016/j.crma.2015.10.002. https://comptes-rendus.academie-sciences.fr/mathematique/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).

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