Regularity of solutions for a sixth order nonlinear parabolic equation in two space dimensions
Annales Polonici Mathematici, Tome 107 (2013) no. 3, pp. 271-291.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We consider an initial-boundary problem for a sixth order nonlinear parabolic equation, which arises in oil-water-surfactant mixtures. Using Schauder type estimates and Campanato spaces, we prove the global existence of classical solutions for the problem in two space dimensions.
DOI : 10.4064/ap107-3-4
Keywords: consider initial boundary problem sixth order nonlinear parabolic equation which arises oil water surfactant mixtures using schauder type estimates campanato spaces prove global existence classical solutions problem space dimensions

Changchun Liu 1

1 Department of Mathematics Jilin University Changchun 130012, China
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Changchun Liu. Regularity of solutions for a sixth order nonlinear parabolic equation in two space dimensions. Annales Polonici Mathematici, Tome 107 (2013) no. 3, pp. 271-291. doi : 10.4064/ap107-3-4. http://geodesic.mathdoc.fr/articles/10.4064/ap107-3-4/

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