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


Hokkaido University \| Library \| HUSCAP	Advanced Search		言語

	Home
	About HUSCAP
	オープンアクセス方針

	Browse by Author

Browse
	Communities & Collections

	Scholarly Journals
	Theses
	Doctoral Dissertations Listed by Graduate Schools
	Conference Procs.
	Events

	HUSCAP Senior (in Japanese)

	Societies

	Top 50 Papers (last 1 month)
	Downloads (country)

For university staff (in Japanese)
	How to post your papers to HUSCAP (in Japanese)

Open Archives Compliant

You can search our collection also at:
	Google
	Google Scholar
	CiNii
	IRDB
	OAIster
	NDLTD

Files in This Item:

pre1034.pdf

600.47 kB

PDF

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 )

- Hokkaido University