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

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1-23
Number of pages	23
Journal	Archive for Rational Mechanics and Analysis
Volume	171
Issue number	1
DOIs	https://doi.org/10.1007/s00205-003-0294-1
Publication status	Published - 2004 Jan

ASJC Scopus subject areas

Mechanics of Materials
Computational Mechanics
Mathematics(all)
Mathematics (miscellaneous)

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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.",

author = "Hitoshi Ishii and Toshio Mikami",

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AU - Mikami, Toshio

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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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JO - Archive for Rational Mechanics and Analysis

JF - Archive for Rational Mechanics and Analysis

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Motion of a Graph by R-Curvature

Abstract

ASJC Scopus subject areas

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