总变化量在度量图中流动

IF 1.4 4区工程技术 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Mathematics in Engineering Pub Date : 2021-12-24 DOI:10.3934/mine.2023009

J. Mazón

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引用次数: 4

摘要

我们的目的是研究度量图中的总变分流。首先定义了度量图的有界变分函数及其总变分，并给出了分部积分公式。我们证明了解的存在唯一性，并证明了解在有限时间内达到初始数据的均值。此外，我们还得到了显式解。

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The total variation flow in metric graphs

Our aim is to study the total variation flow in metric graphs. First, we define the functions of bounded variation in metric graphs and their total variation, we also give an integration by parts formula. We prove existence and uniqueness of solutions and that the solutions reach the mean of the initial data in finite time. Moreover, we obtain explicit solutions.

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来源期刊

Mathematics in Engineering MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

2.20

自引率

0.00%

发文量

审稿时长

12 weeks