TY - JOUR
T1 - Two Dimensional Cahn-Hilliard Equation with Concentration Dependent Mobility and Gradient Dependent Potential
AU - Huang , Rui
AU - Yin , Jingxue
AU - Wang , Liangwei
JO - Communications in Mathematical Research 
VL - 2
SP - 156
EP - 168
PY - 2021
DA - 2021/05
SN - 27
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19100.html
KW - Cahn-Hilliard equation, concentration dependent mobility, gradient dependent potential.
AB - <p style="text-align: justify;">In this paper we consider the initial boundary value problem of Cahn-Hilliard equation with concentration dependent mobility and gradient dependent potential. By the $L^p$ type estimates and the theory of Morrey spaces, we prove the
Hölder continuity of the solutions. Then we obtain the existence of global classical
solutions. The present work can be viewed as an extension to the previous work on
the Cahn-Hilliard equation with concentration dependent mobility and potential.</p>