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ON FINITE TIME STOPPING PHENOMENA FOR ONE-HARMONIC MAP FLOW

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/84192

Title: ON FINITE TIME STOPPING PHENOMENA FOR ONE-HARMONIC MAP FLOW
Authors: GIGA, YOSHIKAZU Browse this author
Kuroda, Hirotoshi Browse this author
Keywords: one-harmonic map flow
finite time stopping
singular diffusion
extinction
total variation flow.
Issue Date: 3-Mar-2014
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 1048
Start Page: 1
End Page: 37
Abstract: For a very strong diffusion equation like total variation flow it is often observed that the solution stops at a steady state in a finite time. This phenomenon is called a finite time stopping or a finite time extinction if the steady state is zero. Such a phenomenon is also observed in one-harmonic map flow from an interval to a unit circle when initial data is piecewise constant. However, if the target manifold is a unit two-dimensional
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69852
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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