Local Uniqueness of Weak Solutions for a Class of Quasilinear Subelliptic Equations  

作　　者：Xue Wei CUI Yong Zhong WANG 

机构地区：[1]Department of Applied Mathematics, Northwestern Polytechnical University, Shaanxi 710072, P. R. China

出　　处：《Journal of Mathematical Research and Exposition》2011年第2期295-302,共8页数学研究与评论（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant No. 10871157);the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 200806990032);the Keji Chuangxin Jijin of Northwestern Polytechnical University (Grant No. 2008KJ02033)

摘　　要：In this note,we obtain some a-priori estimates for gradient of weak solutions to a class of subelliptic quasilinear equations constructed by Ho¨rmander’s vector fields,and then prove local uniqueness of weak solutions.A key ingredient is the estimated about kernel on metirc ＂annulus＂.In this note,we obtain some a-priori estimates for gradient of weak solutions to a class of subelliptic quasilinear equations constructed by Ho¨rmander’s vector fields,and then prove local uniqueness of weak solutions.A key ingredient is the estimated about kernel on metirc ＂annulus＂.

关 键 词：Hrmander’s vector fields subelliptic weak solution UNIQUENESS 

分 类 号：O175.2[理学—数学]