Schauder estimates for elliptic operators with applications to nodal sets

被引：1
|
作者：
Qing Han
机构：
[1] University of Notre Dame,Department of Mathematics
来源：
The Journal of Geometric Analysis | 2000年 / 10卷 / 3期
关键词：
35B05; 35B45; estimates; nodal sets and singular sets;
D O I：
10.1007/BF02921945
中图分类号：
学科分类号：
摘要：
In this paper we first give a priori estimates on asymptotic polynomials of solutions to elliptic equations at nodal points. This leads to a pointwise version of Schauder estimates. As an application we discuss the structure of nodal sets of solutions to elliptic equations with nonsmooth coefficients.
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页码：455 / 480
页数：25
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