| 一类非散度型椭圆方程的正则性 |
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| 引用本文： | 金永阳.一类非散度型椭圆方程的正则性[J].数学年刊A辑(中文版),2002(4). |
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| 作者姓名： | 金永阳 |
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| 作者单位： | 浙江工业大学应用数学系 杭州310032 |
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| 基金项目： | 国家自然科学基金（No.19971076），933（No.G1999075105）资助的项目. |
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| 摘 要： | 本文得到了一类带奇异低阶项椭圆万程的非负解的Harnack不等式、方程的形式为L0u+biuxi=0,其中L0为一具Holder连续系数的非散度型椭圆算子,|b|2属于Kato类.
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| 关 键 词： | 非散度型椭圆算子 Harnack不等式 Kato类 |
A REGULARITY RESULT OF A CLASS OF ELLIPTIC EQUATION IN NON-DIVERGENCE STRUCTURE |
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| JIN Yongyang.A REGULARITY RESULT OF A CLASS OF ELLIPTIC EQUATION IN NON-DIVERGENCE STRUCTURE[J].Chinese Annals of Mathematics,2002(4). |
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| Authors: | JIN Yongyang |
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| Institution: | JIN YongyangDepartment of Mathematics,Zhejiang University of Technology,Hangzhou 310032,China. E-mail: doctorjyy@163.net |
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| Abstract: | Harnack's inequality for nonnegative solutions of a class of elliptic equation in non-divergence structure was proved.The form of the equation is: L0u + biuX = 0, where L0 is a second order elliptic operator with Holder continous coefficient, and |b|2 belongs to Kato class. |
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| Keywords: | Nondivergence type elliptic operator Harnack's Inequality Kato class |
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