Measure Estimates of Nodal Sets of Polyharmonic Functions

被引：0

作者：

Long TIAN

机构：

[1] DepartmentofAppliedMathematics,NanjingUniversityofScienceandTechnology

来源：

ChineseAnnalsofMathematics,SeriesB | 2018年 / 05期

关键词：

Polyharmonic function; Nodal set; Frequency; Measure estimate; Growth property;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

This paper deals with the function u which satisfies△ku = 0, where k≥2 is an integer. Such a function u is called a polyharmonic function. The author gives an upper bound of the measure of the nodal set of u, and shows some growth property of u.

引用

页码：917 / 932

页数：16

共 6 条

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