Motion of a Graph by <Emphasis Type="Italic">R</Emphasis>-Curvature |
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| Authors: | Hitoshi Ishii Toshio Mikami |
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| Institution: | (1) Department of Mathematics, School of Education Waseda University, 1-6-1 Nishiwaseda, Shinjyuku-ku, Tokyo, 169-8050, Japan;(2) Department of Mathematics, Hokkaido University, Sapporo, 060-0810, Japan |
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| 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. |
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