An approximation scheme for motion by mean curvature with right-angle boundary condition

Hitoshi Ishii; Katsuyuki Ishii

An approximation scheme for motion by mean curvature with right-angle boundary condition

Hitoshi Ishii^*, Katsuyuki Ishii

^*Corresponding author for this work

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

6 Citations (Scopus)

Abstract

We show that the algorithm considered by Ishii [GAKUTO Internat. Ser. Math. Sci. Appl. 5, Gakkōtosho, Tokyo, 1995, pp. 111-127] and Ishii, Pires, and Souganidis [J. Math. Soc. Japan, 50 (1999), pp. 267-308] can be applied to motion by mean curvature with right-angle boundary condition.

Original language	English
Pages (from-to)	369-389
Number of pages	21
Journal	SIAM Journal on Mathematical Analysis
Volume	33
Issue number	2
Publication status	Published - 2001

Keywords

Approximation scheme
Motion by mean curvature
Right-angle boundary condition
Viscosity solutions

ASJC Scopus subject areas

Mathematics(all)
Analysis
Applied Mathematics

Cite this

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title = "An approximation scheme for motion by mean curvature with right-angle boundary condition",

abstract = "We show that the algorithm considered by Ishii [GAKUTO Internat. Ser. Math. Sci. Appl. 5, Gakkōtosho, Tokyo, 1995, pp. 111-127] and Ishii, Pires, and Souganidis [J. Math. Soc. Japan, 50 (1999), pp. 267-308] can be applied to motion by mean curvature with right-angle boundary condition.",

keywords = "Approximation scheme, Motion by mean curvature, Right-angle boundary condition, Viscosity solutions",

author = "Hitoshi Ishii and Katsuyuki Ishii",

year = "2001",

language = "English",

volume = "33",

pages = "369--389",

journal = "SIAM Journal on Mathematical Analysis",

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publisher = "Society for Industrial and Applied Mathematics Publications",

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TY - JOUR

T1 - An approximation scheme for motion by mean curvature with right-angle boundary condition

AU - Ishii, Hitoshi

AU - Ishii, Katsuyuki

PY - 2001

Y1 - 2001

N2 - We show that the algorithm considered by Ishii [GAKUTO Internat. Ser. Math. Sci. Appl. 5, Gakkōtosho, Tokyo, 1995, pp. 111-127] and Ishii, Pires, and Souganidis [J. Math. Soc. Japan, 50 (1999), pp. 267-308] can be applied to motion by mean curvature with right-angle boundary condition.

AB - We show that the algorithm considered by Ishii [GAKUTO Internat. Ser. Math. Sci. Appl. 5, Gakkōtosho, Tokyo, 1995, pp. 111-127] and Ishii, Pires, and Souganidis [J. Math. Soc. Japan, 50 (1999), pp. 267-308] can be applied to motion by mean curvature with right-angle boundary condition.

KW - Approximation scheme

KW - Motion by mean curvature

KW - Right-angle boundary condition

KW - Viscosity solutions

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M3 - Article

AN - SCOPUS:0036045861

SN - 0036-1410

VL - 33

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EP - 389

JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

IS - 2

ER -

An approximation scheme for motion by mean curvature with right-angle boundary condition

Abstract

Keywords

ASJC Scopus subject areas

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