Motion of a Graph by R-Curvature

Hitoshi Ishii, Toshio Mikami

    Research output: Contribution to journalArticlepeer-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 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.

    Original languageEnglish
    Pages (from-to)1-23
    Number of pages23
    JournalArchive for Rational Mechanics and Analysis
    Volume171
    Issue number1
    DOIs
    Publication statusPublished - 2004 Jan

    ASJC Scopus subject areas

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

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