| 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. DOI: 10.3770/j.issn:1000-341X.2011.02.013 |
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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： | 2009-03-16 |
| 修稿时间： | 2010-10-03 |
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. DOI: 10.3770/j.issn:1000-341X.2011.02.013 |
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| Authors: | Xue Wei CUI and Yong Zhong WANG |
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| Affiliation: | 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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