Unique Continuation Properties Operators with for Generalized Baouendi-Grushin Singular Weights

作     者：Jia Lin WANG Peng Cheng NIU 

作者机构：ZDepartment of Applied Mathematics Northwestern Polytechnical University Xi'an 710072 P. R. China Key Laboratory of Numerical Simulation Technology of Jiangxi Province Gannan Normal University Ganzhou 341000 P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2011年第27卷第8期

页      面：1637-1644页

核心收录：

学科分类：0710[理学-生物学] 07[理学] 070104[理学-应用数学] 0701[理学-数学] 071002[理学-动物学] 

基　　金：Supported by National Natural Science Foundation of China (Grant No. 10871157)  Research Fund for the Doctoral Program o[ Higher Education of China (Grant No. 200806990032) 

主　　题：Unique continuation spherical function Hardy-Sobolev inequality generalized Baouendi -Grushin operator 

摘      要：In this paper, properties of the spherical functions and Hardy-Sobolev inequalities of generalized Baouendi-Grushin vector fields are established, and then some unique continuation results for generalized Baouendi Grushin operators with singular weights are given.