On the Jump set of Solutions of the Total Variation Flow

被引：11

作者：

Caselles, V. ^{[1
]}

Jalalzai, K. ^{[2
]}

Novaga, M. ^{[3
]}

机构：

[1] Univ Pompeu Fabra, Dept Tecnol, Barcelona, Spain

[2] Ecole Polytech, CNRS, CMAP, UMR 7641, F-91128 Palaiseau, France

[3] Univ Padua, Dipartimento Matemat, I-35121 Padua, Italy

来源：

RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA | 2013年 / 130卷

关键词：

Total variation flow; demonising model; nonlinear parabolic equations; functions of bounded variation; DENOISING PROBLEM;

D O I：

10.4171/RSMUP/130-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the jump set of the solution of the minimizing Total Variation flow decreases with time for any initial condition in BV(Omega) boolean AND L-N(Omega). We prove that the size of the jump also decreases with time.

引用

页码：155 / 168

页数：14

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