Global Optimal Regularity for the Parabolic Polyharmonic Equations
Department of Mathematics, Shanghai University, Shanghai 200436, China
Boundary Value Problems 2010, 2010:879821 doi:10.1155/2010/879821Published: 14 June 2010
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 .