The Euler-Lagrange equation for the Anisotropic least gradient problem

被引：24

作者：

Mazon, Jose M. ^{[1
]}

机构：

[1] Univ Valencia, Dept Anal Matemat, Valencia, Spain

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2016年 / 31卷

关键词：

Functions of least gradient; Conductivity imaging problem; Anisotropy total variation;

D O I：

10.1016/j.nonrwa.2016.02.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we find the Euler-Lagrange equation for the anisotropic least gradient problem inf {integral(Omega) phi(x, Du) : u is an element of BV(Omega), u vertical bar(partial derivative Omega) = f} being phi a metric integrand and f is an element of L-1(partial derivative Omega). We also characterize the functions of phi-least gradient as those whose boundary of the level set is phi-area minimizing in Omega. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：452 / 472

页数：21

共 27 条

[1] A NOTION OF TOTAL VARIATION DEPENDING ON A METRIC WITH DISCONTINUOUS COEFFICIENTS [J].