| 一类拟线性次椭圆方程弱解的局部唯一性 |
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| 引用本文： | 崔学伟,王永忠.一类拟线性次椭圆方程弱解的局部唯一性[J].数学研究及应用,2011,31(2):295-302. |
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| 作者姓名： | 崔学伟 王永忠 |
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| 作者单位： | 西北工业大学应用数学系, 陕西 西安 710072;西北工业大学应用数学系, 陕西 西安 710072 |
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| 基金项目： | 国家自然科学基金(Grant No.10871157), 高等学校博士学科点专项科研基金(Grant No.200806990032),西北工业大学科技创新基金(Grant No.2008KJ02033). |
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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＂.
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| 关 键 词： | Hrmander’s vector fields subelliptic weak solution uniqueness |
| 收稿时间： | 2009/3/16 0:00:00 |
| 修稿时间： | 2010/10/3 0:00:00 |
Local Uniqueness of Weak Solutions for a Class of Quasilinear Subelliptic Equations |
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| Xue Wei CUI and Yong Zhong WANG.Local Uniqueness of Weak Solutions for a Class of Quasilinear Subelliptic Equations[J].Journal of Mathematical Research with Applications,2011,31(2):295-302. |
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| Authors: | Xue Wei CUI and Yong Zhong WANG |
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| Institution: | Department of Applied Mathematics, Northwestern Polytechnical University, Shaanxi 710072, P. R. China |
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| Abstract: | In this note, we obtain some $a$-priori estimates for gradient of weak solutions to a class of subelliptic quasilinear equations constructed by H\"{o}rmander's vector fields, and then prove local uniqueness of weak solutions. A key ingredient is the estimated about kernel on metirc ``annulus". |
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| Keywords: | H\"{o}rmander's vector fields subelliptic weak solution uniqueness |
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