| 一类Schrdinger方程的唯一延拓性 |
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| 引用本文： | 贾厚玉,王衡庚.一类Schrdinger方程的唯一延拓性[J].数学年刊A辑(中文版),2002(2). |
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| 作者姓名： | 贾厚玉 王衡庚 |
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| 作者单位： | 浙江大学数学系，华南师范大学数学系 杭州 ３１００２８，广州 ５１０６３１ |
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| 基金项目： | 国家自然科学基金(No．19631080,No．19971030)资助的项目 |
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| 摘 要： | 本文研究一类具有Ｌｉｐ连续系数且带奇异位势的Ｓｃｈｒｄｉｎｇｅｒ方程Ｌｕ＝－ｄｉｖ(Ａ(ｘ)ｕ＋Ｖ(ｘ)ｕ(ｘ)＝０,得到了此类方程弱解的唯一延拓性以及弱解的绝对值属于某Ａｐ权．
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| 关 键 词： | Schrdinger方程 唯一延拓性 Ap权 |
UNIQUE CONTINUATION AND SCHRODINGER EQUATION |
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| JIA Houyu WANG Henggeng.UNIQUE CONTINUATION AND SCHRODINGER EQUATION[J].Chinese Annals of Mathematics,2002(2). |
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| Authors: | JIA Houyu WANG Henggeng |
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| Institution: | JIA Houyu WANG HenggengDepartment of Mathematics. Zhejiang University,Xixi campus. Hangzhou 310028.China. E-mail: mjhy@css.zju.edu.cnDepartment of Mathematics,Sourth China Normal University,Guangzhou 510631. China. E-mail: wanghg@scnu.edu.cn |
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| Abstract: | In this paper, the authors study the solution of a certain Schrodinger equation:Lu = -div(A(x)u) + V(x)u(x) = 0with Lipschitz continuous A(x) and singular potential V(x). and prove the unique continu-ation properties (ucp.) for solution and the absolute value of solution belongs to some Ap weight. |
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| Keywords: | Schrodinger equation Unique continuation Ap weight |
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