Research Article
Global Optimal Regularity for the Parabolic Polyharmonic Equations
Department of Mathematics, Shanghai University, Shanghai 200436, China
Boundary Value Problems 2010, 2010:879821 doi:10.1155/2010/879821
Published: 14 June 2010Abstract
We show the global regularity estimates for the following parabolic polyharmonic equation
in 
under proper conditions. Moreover, it will be verified that these conditions are
necessary for the simplest heat equation 
in 
.
