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On boundary detachment phenomena for the total variation flow with dynamic boundary conditions

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/86755

Title: On boundary detachment phenomena for the total variation flow with dynamic boundary conditions
Authors: Giga, Yoshikazu Browse this author
Nakayashiki, Ryota Browse this author
Rybka, Piotr Browse this author
Shirakawa, Ken Browse this author
Keywords: total variation flow
facet evolution
dynamic boundary conditions
boundary layer detachment
Issue Date: 21-Jan-2019
Publisher: Department of Mathematics, Hokkaido University
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 1120
Start Page: 1
End Page: 42
Abstract: We combine the total variation flow suitable for crystal modeling and image analysis withthedynamicboundaryconditions. Weanalyzethebehavioroffacetsatthepartsofthe boundarywheretheseconditionsareimposed. Wedevoteparticularattentiontotheradially symmetric data. We observe that the boundary layer detachment actually can happen at concave parts of the boundary.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/72348
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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