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.
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@article{CRMATH_2016__354_1_69_0, author = {Liu, Changchun and Zhang, Xiaoli}, title = {Invariance of the support of solutions for a sixth-order thin film equation}, journal = {Comptes Rendus. Math\'ematique}, pages = {69--73}, publisher = {Elsevier}, volume = {354}, number = {1}, year = {2016}, doi = {10.1016/j.crma.2015.10.002}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2015.10.002/} }
TY - JOUR AU - Liu, Changchun AU - Zhang, Xiaoli TI - Invariance of the support of solutions for a sixth-order thin film equation JO - Comptes Rendus. Mathématique PY - 2016 SP - 69 EP - 73 VL - 354 IS - 1 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2015.10.002/ DO - 10.1016/j.crma.2015.10.002 LA - en ID - CRMATH_2016__354_1_69_0 ER -
%0 Journal Article %A Liu, Changchun %A Zhang, Xiaoli %T Invariance of the support of solutions for a sixth-order thin film equation %J Comptes Rendus. Mathématique %D 2016 %P 69-73 %V 354 %N 1 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2015.10.002/ %R 10.1016/j.crma.2015.10.002 %G en %F CRMATH_2016__354_1_69_0
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://archive.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).