p-parabolic Approximation of Total Variation Flow Solutions

被引：4

作者：

Gianazza, Ugo ^{[1
]}

Klaus, Colin ^{[2
]}

机构：

[1] Univ Pavia, Dipartimento Matemat F Casorati, Via Ferrata 1, I-27100 Pavia, Italy

[2] Ohio State Univ, Math Biosci Inst, Jennings Hall,3rd Floor,1735 Neil Ave, Columbus, OH 43210 USA

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2019年 / 68卷 / 05期

关键词：

Parabolic variational integral; parabolic p-Laplacian; total variation flow Cauchy-Dirichlet problem; EXISTENCE;

D O I：

10.1512/iumj.2019.68.7773

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that variational solutions to the Cauchy-Dirichlet problem for the total variation flow can be built as the limit of variational solutions to the same problem for the parabolic p-Laplacian.

引用

页码：1519 / 1550

页数：32

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