具有不连续系数的平均曲率流动方程的比较原理

IF 1.5 Q2 MATHEMATICS, APPLIED

International Journal of Differential Equations Pub Date : 2016-08-04 DOI:10.1155/2016/3627896

Cecilia De Zan, Pierpaolo Soravia

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引用次数: 2

摘要

研究了当界面速度由平均曲率加不连续速度给出时，在有界区域内的水平集方程。我们证明了初边值问题的一个比较原理，其结果是连续解的唯一性和水平集方法的适定性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A Comparison Principle for the Mean Curvature Flow Equation with Discontinuous Coefficients

We study the level set equation in a bounded domain when the velocity of the interface is given by the mean curvature plus a discontinuous velocity. We prove a comparison principle for the initial-boundary value problem whose consequence is uniqueness of continuous solutions and well- posedness of the level set method.

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来源期刊

International Journal of Differential Equations MATHEMATICS, APPLIED-

CiteScore

3.10

自引率

0.00%

发文量

审稿时长

20 weeks