Topological monsters in elliptic equations and spectral theory

被引：1

作者：

Enciso, Alberto ^{[1
]}

Peralta-Salas, Daniel ^{[1
]}

机构：

[1] CSIC, Inst Ciencias Matemat, Plaza Murillo 2, E-28049 Madrid, Spain

来源：

EMS SURVEYS IN MATHEMATICAL SCIENCES | 2016年 / 3卷 / 01期

关键词：

Level sets; elliptic equations; nodal sets; eigenfunctions; harmonic functions;

D O I：

10.4171/EMSS/15

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we will discuss the appearance of complicated geometric and topological structures through the level sets of solutions to a wide range of elliptic equations. Applications to the analysis of nodal sets of eigenfunctions of Schrodinger operators will be discussed too.

引用

页码：107 / 130

页数：24

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