A level set approach to the wearing process of a nonconvex stone

Hitoshi Ishii; Toshio Mikami

doi:10.1007/s00526-003-0196-y

A level set approach to the wearing process of a nonconvex stone

Hitoshi Ishii^*, Toshio Mikami

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

We study the geometric evolution of a nonconvex stone by the wearing process via the partial differential equation methods. We use the so-called level set approach to this geometric evolution of a set. We establish a comparison theorem, an existence theorem, and some stability properties of solutions of the partial differential equation arising in this level set approach, and define the flow of a set by the wearing process via the level set approach.

Original language	English
Pages (from-to)	53-93
Number of pages	41
Journal	Calculus of Variations and Partial Differential Equations
Volume	19
Issue number	1
DOIs	https://doi.org/10.1007/s00526-003-0196-y
Publication status	Published - 2004 Jan
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)
Analysis
Applied Mathematics

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abstract = "We study the geometric evolution of a nonconvex stone by the wearing process via the partial differential equation methods. We use the so-called level set approach to this geometric evolution of a set. We establish a comparison theorem, an existence theorem, and some stability properties of solutions of the partial differential equation arising in this level set approach, and define the flow of a set by the wearing process via the level set approach.",

author = "Hitoshi Ishii and Toshio Mikami",

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AB - We study the geometric evolution of a nonconvex stone by the wearing process via the partial differential equation methods. We use the so-called level set approach to this geometric evolution of a set. We establish a comparison theorem, an existence theorem, and some stability properties of solutions of the partial differential equation arising in this level set approach, and define the flow of a set by the wearing process via the level set approach.

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JO - Calculus of Variations and Partial Differential Equations

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A level set approach to the wearing process of a nonconvex stone

Abstract

ASJC Scopus subject areas

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