Convexified Gauss curvature flow of sets: A stochastic approximation

Hitoshi Ishii; Toshio Mikami

doi:10.1137/S0036141002420509

Convexified Gauss curvature flow of sets: A stochastic approximation

Hitoshi Ishii, Toshio Mikami

研究成果: Article › 査読

2 被引用数 (Scopus)

抄録

We construct a discrete stochastic approximation of a convexified Gauss curvature flow of boundaries of bounded open sets in an anisotropic external field. We also show that a weak solution to the PDE which describes the motion of a bounded open set is unique and is a viscosity solution of it.

本文言語	English
ページ（範囲）	552-579
ページ数	28
ジャーナル	SIAM Journal on Mathematical Analysis
巻	36
号	2
DOI	https://doi.org/10.1137/S0036141002420509
出版ステータス	Published - 2005

ASJC Scopus subject areas

Mathematics(all)
Analysis
Applied Mathematics
Numerical Analysis

文献へのアクセス

10.1137/S0036141002420509

フィンガープリント「Convexified Gauss curvature flow of sets: A stochastic approximation」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル

@article{0a271df523424646967e0ec95de9a509,

title = "Convexified Gauss curvature flow of sets: A stochastic approximation",

abstract = "We construct a discrete stochastic approximation of a convexified Gauss curvature flow of boundaries of bounded open sets in an anisotropic external field. We also show that a weak solution to the PDE which describes the motion of a bounded open set is unique and is a viscosity solution of it.",

keywords = "Convexified Gauss curvature flow, Stochastic approximation, Viscosity solution, Weak solution",

author = "Hitoshi Ishii and Toshio Mikami",

year = "2005",

doi = "10.1137/S0036141002420509",

language = "English",

volume = "36",

pages = "552--579",

journal = "SIAM Journal on Mathematical Analysis",

issn = "0036-1410",

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

number = "2",

}

TY - JOUR

T1 - Convexified Gauss curvature flow of sets

T2 - A stochastic approximation

AU - Ishii, Hitoshi

AU - Mikami, Toshio

PY - 2005

Y1 - 2005

N2 - We construct a discrete stochastic approximation of a convexified Gauss curvature flow of boundaries of bounded open sets in an anisotropic external field. We also show that a weak solution to the PDE which describes the motion of a bounded open set is unique and is a viscosity solution of it.

AB - We construct a discrete stochastic approximation of a convexified Gauss curvature flow of boundaries of bounded open sets in an anisotropic external field. We also show that a weak solution to the PDE which describes the motion of a bounded open set is unique and is a viscosity solution of it.

KW - Convexified Gauss curvature flow

KW - Stochastic approximation

KW - Viscosity solution

KW - Weak solution

UR - http://www.scopus.com/inward/record.url?scp=14944371769&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=14944371769&partnerID=8YFLogxK

U2 - 10.1137/S0036141002420509

DO - 10.1137/S0036141002420509

M3 - Article

AN - SCOPUS:14944371769

VL - 36

SP - 552

EP - 579

JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

SN - 0036-1410

IS - 2

ER -