Hlder Continuity for a Class of Strongly Degenerate Schrdinger Operator Formed by Vector Fields

作     者：Yong-yang JIN Jie-lin L Rong-fei LIN 

作者机构：Department of Applied Mathematics Zhejiang University of Technology Zhejiang Vocational College of Commerce Department of Mathematics Taizhou University 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2013年第29卷第2期

页      面：281-288页

核心收录：

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

基　　金：Supported by Natural Science Foundation of Zhejiang Province (No.Y60900359, Y6090383) Department of Education of Zhejiang Province (No.Z200803357) 

主　　题：Hoe1der continuity degenerate SchrSdinger operator green function 

摘      要：In this paper we obtain the H61der continuity property of the solutions for a class of degenerate Schr6dinger equation generated by the vector fields：∑i,j=1^m Xj^＊（aij（x）Xiu）＋bXu=uu=0,where X = {X1,.-. ,Xm} is a family of C^∞ vector fields satisfying the H6rmander condition, and the lower order terms belong to an appropriate Morrey type space.