Regularity of solutions for a sixth order nonlinear parabolic equation in two space dimensions
Volume 107 / 2013
Annales Polonici Mathematici 107 (2013), 271-291
MSC: Primary 35B65; Secondary 35K55, 35K35.
DOI: 10.4064/ap107-3-4
Abstract
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.
