GLOBAL L^p ESTIMATES FOR THE PARABOLIC EQUATION OF THE BI-HARMONIC TYPE

作     者：Yao Fengping Zhou Shulin 

作者机构：Department of Mathematics Shanghai University Shanghai 200444 China LMAM School of Mathematical Sciences Peking University Bejing 100871 China 

出 版 物：《Journal of Partial Differential Equations》 (偏微分方程（英文版）)

年 卷 期：2008年第21卷第4期

页      面：315-334页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：NBRPC [2006CB705700] NSFC KPCME 

主　　题：抛物线方程 Lp估计 存在性 唯一性 

摘      要：In this paper similarly to the second-order case, we give an elementary and straightforward proof of global L-p estimates for the initial-value parabolic problem of the bi-harmonic type. Moreover, we obtain the existence and uniqueness of the solutions in the suitable space using the potential theory, Marcinkiewicz interpolation theorem and approximation argument. Meanwhile, by the same approach we can deal with the general polyharmonic cases.