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.
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页码：3 / 12
页数：10
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