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

OAI-PMH ( junii2 , jpcoar )

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