Global Optimal Regularity for the Parabolic Polyharmonic Equations. (14th June 2010)

• Record Type: Journal Article
• Authors: Yao Yao, Fengping Fengping
• Other Names: Radulescu Radulescu Vicentiu D. Vicentiu D. Academic Editor.
• Is Part Of: Boundary value problems. Volume 2010(2010)
• Publication Date: 2010-06-14
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/2010/879821
• Languages: English
• ISSNs: 1687-2762

Abstract

Abstract : We show the global regularity estimates for the following parabolic polyharmonic equation u t + ( − Δ ) m u = f in ℝ n × ( 0, ∞ ), m ∈ ℤ + under proper conditions. Moreover, it will be verified that these conditions are necessary for the simplest heat equation u t − Δ u = f in ℝ n × ( 0, ∞ ) .