A NOTION OF TOTAL VARIATION DEPENDING ON A METRIC WITH DISCONTINUOUS COEFFICIENTS

被引：94

作者：

AMAR, M

BELLETTINI, G

机构：

[1] SISSA,ISAS,INT SCH ADV STUDIES,I-34014 TRIESTE,ITALY

[2] UNIV BOLOGNA,DIPARTIMENTO MATEMAT,I-40127 BOLOGNA,ITALY

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 1994年 / 11卷 / 01期

关键词：

BV FUNCTIONS; SEMICONTINUITY; RELAXATION THEORY;

D O I：

10.1016/S0294-1449(16)30197-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given a function u : OMEGA subset-or-equal-to --> R, we introduce a notion of total variation of u depending on a possibly discontinuous Finsler metric. We prove some integral representation results for this total variation, and we study the connections with the theory of relaxation.

引用

页码：91 / 133

页数：43

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