A Note on Convergence of Level Sets

被引：0

作者：

Camilli, F. ^{[1
]}

机构：

[1] Univ Turin, Dip Matemat, I-10123 Turin, Italy

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 1999年 / 18卷 / 01期

关键词：

Perturbed level sets; set convergence; capacity;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given a sequence of functions f(n) converging in some topology to a function f, in general the 0-level set of f(n) does not give a good approximation of the one of f. In this paper we show that, if we consider an appropriate perturbation of the 0-level set of f(n), we get a sequence of sets converging to the 0-level set of f, where the type of set convergence depends on the type of convergence of f(n) to f.

引用

页码：3 / 12

页数：10

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