TY - JOUR
T1 - Well-posedness for the Cahn-Hilliard Equation with Neumann Boundary Condition on the Half Space
AU - Wang , Ling-Jun
JO - Journal of Partial Differential Equations
VL - 4
SP - 344
EP - 380
PY - 2017
DA - 2017/11
SN - 30
DO - http://doi.org/10.4208/jpde.v30.n4.5
UR - https://global-sci.org/intro/article_detail/jpde/10679.html
KW - Cahn-Hilliard equation
KW - Neumann boundary condition
KW - analyticity
KW - half space.
AB - <p>In this paper, we investigate the Cahn-Hilliard equation defined on the half
space and subject to the Neumann boundary and initial condition. For given initial
data in some sobolev space, we prove the existence and analytic smoothing effect of
the solution.</p>