Methods and Applications of Analysis
Volume 18 (2011)
Gevrey regularity of certain solutions to the Cahn-Hilliard equation with rough initial data
Pages: 417 – 426
In this article we consider the problem of local Gevrey regularity of periodic solutions to the Cahn-Hilliard equation with initial data in a space of distributions. The method presented in this paper is based on the analysis of the Navier-Stokes system presented in  and makes use of a convolution inequality due to Kerman .
Cahn-Hilliard equation, Gevrey regularity
2010 Mathematics Subject Classification
35B65, 35K35, 35Q35