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ANISOTROPIC TOTAL VARIATION FLOW OF NON-DIVERGENCE TYPE ON A HIGHER DIMENSIONAL

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/84178

Title: ANISOTROPIC TOTAL VARIATION FLOW OF NON-DIVERGENCE TYPE ON A HIGHER DIMENSIONAL
Authors: Giga, Miho Browse this author
GIGA, YOSHIKAZU Browse this author
Pozar, Norbert Browse this author
Keywords: phase transitions
curvature flows
crystalline mean curvature
anisotropic total variation flow
viscosity solutions
comparison theorems
Issue Date: 30-May-2013
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 1034
Start Page: 1
End Page: 27
Abstract: We extend the theory of viscosity solutions to a class of very singular nonlinear parabolic problems of non-divergence form in a periodic domain of an arbitrary dimension with di usion given by an anisotropic total variation energy. We give a proof of a comparison principle, an outline of a proof of the stability under approximation by regularized parabolic problems, and an existence theorem for general continuous initial data, which extend the results recently obtained by the authors.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69838
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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