Regularity of solutions for a sixth order nonlinear parabolic equation in two space dimensions
Changchun Liu
Annales Polonici Mathematici, Tome 107 (2013), p. 271-291 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:280297 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap107-3-4,
     author = {Changchun Liu},
     title = {Regularity of solutions for a sixth order nonlinear parabolic equation in two space dimensions},
     journal = {Annales Polonici Mathematici},
     volume = {107},
     year = {2013},
     pages = {271-291},
     zbl = {1263.35127},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap107-3-4}
}

Changchun Liu. Regularity of solutions for a sixth order nonlinear parabolic equation in two space dimensions. Annales Polonici Mathematici, Tome 107 (2013) pp. 271-291. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap107-3-4/