Pointwise Inequalities for Elliptic Boundary Value Problems

被引：0
|
作者：
Luo G. [1 ]
Maz’ya V.G. [2 ]
机构：
[1] City University of Hong Kong, Tat Chee Avenue, Kowloon
[2] Link¨oping University, Linköping
来源：
Journal of Mathematical Sciences | 2015年 / 210卷 / 4期
关键词：
Dirichlet Problem; Fundamental Solution; Elliptic Operator; Elliptic Boundary; Hardy Inequality;
D O I：
10.1007/s10958-015-2572-5
中图分类号：
学科分类号：
摘要：
We introduce a new approach for obtaining pointwise estimates for solutions of elliptic boundary value problems when the operator satisfies a certain type of weighted integral inequalities. The method is illustrated on several examples, including a scalar secondorder elliptic equation, the 3D Lamé system, and a scalar higher-order elliptic equation. The techniques can be extended to other elliptic boundary value problems provided that the corresponding weighted integral inequalities are satisfied. Bibliography: 36 titles. © 2015, Springer Science+Business Media New York.
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页码：391 / 398
页数：7
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