In this paper, we study the regularity of solutions for two–dimensional Cahn–Hilliard equation with non–constant mobility. Basing on the L p type estimates and Schauder type estimates, we prove the global existence of classical solutions. [ABSTRACT FROM AUTHOR]
In this paper, the authors consider the existence of periodic solutions for a kind of second neutral functional differential equation as follows: in the critical case | c| = 1. By employing Mawhin's continuation theorem and some analysis techniques, some new results are obtained. [ABSTRACT FROM AUTHOR]
In this paper, we consider the generation and propagation of interfaces for p-Laplacian equations with the derivative of a bi-stable potential. [ABSTRACT FROM AUTHOR]