Open Access Research Article

Global Optimal Regularity for the Parabolic Polyharmonic Equations

Fengping Yao

Author Affiliations

Department of Mathematics, Shanghai University, Shanghai 200436, China

Boundary Value Problems 2010, 2010:879821  doi:10.1155/2010/879821

Published: 14 June 2010

Abstract

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 .