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

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

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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＂.

作者 Xue Wei CUI Yong Zhong WANG

机构地区 Department of Applied Mathematics

出处《Journal of Mathematical Research and Exposition》 CSCD 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)

关键词 Hrmander’s vector fields subelliptic weak solution UNIQUENESS Hrmander’s vector fields subelliptic weak solution uniqueness

分类号 O175.2 [理学—基础数学]

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Journal of Mathematical Research and Exposition

2011年第2期

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

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