Regularity of solutions for a sixth order nonlinear parabolic equation in two space dimensions

• Autorzy: Changchun Liu
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35K35: Initial-boundary value problems for higher-order parabolic equations
• 35B65: Smoothness and regularity of solutions
• 35K55: Nonlinear parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2013
• Tom: 107
• Numer: 3
• Strony: 271-291

Daty

wydano

2013

Twórcy

autor

Changchun Liu

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

Identyfikatory

DOI

10.4064/ap107-3-4