A sixth-order parabolic equation describing continuum evolution of film free surface

In this article, we study the regularity of solutions for a sixth-order parabolic equation. Based on the Schauder type estimates and Campanato spaces, we prove the existence of classical global solutions.

Bibliographic Details
Main Author: Xiaopeng Zhao
Format: Article
Language:English
Published: Texas State University 2014-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2014/223/abstr.html
Description
Summary:In this article, we study the regularity of solutions for a sixth-order parabolic equation. Based on the Schauder type estimates and Campanato spaces, we prove the existence of classical global solutions.
ISSN:1072-6691