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

作　　者：Jia Lin WANG Peng Cheng NIU 

机构地区：[1]ZDepartment of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, P. R. China [2]Key Laboratory of Numerical Simulation Technology of Jiangxi Province, Gannan Normal University, Ganzhou 341000, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2011年第8期1637-1644,共8页数学学报（英文版）

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）

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.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.

关 键 词：Unique continuation spherical function Hardy-Sobolev inequality generalized Baouendi -Grushin operator 

分 类 号：O175.8[理学—数学] Q959.8[理学—基础数学]