A few topics on total variation flows


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/109270

Title:	A few topics on total variation flows
Authors:	Giga, Yoshikazu Browse this author →KAKEN DB
	Kuroda, Hirotoshi Browse this author →KAKEN DB
	Lasica, Michal Browse this author
Issue Date:	14-Mar-2024
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	1156
Start Page:	1
End Page:	43
Abstract:	Total variation gradient flows are important in several applied fields, including image analysis and materials science. In this paper, we review a few basic topics including definition of a solution, explicit examples and the notion of calibrability, finite time extinction, and some regularity properties of solutions. We focus on the second-order flow (possibly with weights) and the fourth-order flow. We also discuss the fractional cases.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/91283
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_1.0 )

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