Motion of a Graph by R-Curvature

Hitoshi Ishii; Toshio Mikami

doi:10.1007/s00205-003-0294-1

Motion of a Graph by R-Curvature

Hitoshi Ishii^*, Toshio Mikami

^*この研究の対応する著者

研究成果: Article › 査読

2 被引用数 (Scopus)

抄録

We show the existence of weak solutions to the partial differential equation which describes the motion by R-curvature in R^d, by the continuum limit of a class of infinite particle systems. We also show that weak solutions of the partial differential equation are viscosity solutions and give the uniqueness result on both weak and viscosity solutions.

本文言語	English
ページ（範囲）	1-23
ページ数	23
ジャーナル	Archive for Rational Mechanics and Analysis
巻	171
号	1
DOI	https://doi.org/10.1007/s00205-003-0294-1
出版ステータス	Published - 2004 1月

ASJC Scopus subject areas

材料力学
計算力学
数学 (全般)
数学（その他）

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10.1007/s00205-003-0294-1

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title = "Motion of a Graph by R-Curvature",

abstract = "We show the existence of weak solutions to the partial differential equation which describes the motion by R-curvature in Rd, by the continuum limit of a class of infinite particle systems. We also show that weak solutions of the partial differential equation are viscosity solutions and give the uniqueness result on both weak and viscosity solutions.",

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doi = "10.1007/s00205-003-0294-1",

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AB - We show the existence of weak solutions to the partial differential equation which describes the motion by R-curvature in Rd, by the continuum limit of a class of infinite particle systems. We also show that weak solutions of the partial differential equation are viscosity solutions and give the uniqueness result on both weak and viscosity solutions.

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JF - Archive for Rational Mechanics and Analysis

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Motion of a Graph by R-Curvature

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ASJC Scopus subject areas

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