Approximation and comparison for nonsmooth anisotropic motion by mean curvature in RN

被引：33

作者：

Bellettini, G

Novaga, M

机构：

[1] Univ Pisa, Dipartimento Matemat Applicata U Dini, I-56126 Pisa, Italy

[2] Scuola Normale Super Pisa, I-56100 Pisa, Italy

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2000年 / 10卷 / 01期

关键词：

D O I：

10.1142/S0218202500000021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that a reaction-diffusion inclusion provides a sub-optimal approximation for anisotropic motion by mean curvature in the nonsmooth case. This result is valid in any space dimension and with a time-dependent driving force, provided we assume the existence of a regular flow. The crystalline case is included. As a by-product of our analysis, a comparison theorem between regular flows is obtained. This result implies uniqueness of the original flow.

引用

页码：1 / 10

页数：10

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