FOURTH-ORDER TOTAL VARIATION FLOW WITH DIRICHLET CONDITION : CHARACTERIZATION OF EVOLUTION AND EXTINCTION TIME ESTIMATES

GIGA, YOSHIKAZU; Kuroda, Hirotoshi; Matsuoka, Hideki

Hokkaido University Preprint Series in Mathematics, 2015, 1064, 1-36

Permalink : https://doi.org/10.14943/84208

このアイテムのアクセス数:1,006件（2026-08-19 08:26 集計）

ファイル	フォーマット	サイズ	閲覧回数	説明
re1064	pdf	250 KB	550

アクセス権	open access
DOI	https://doi.org/10.14943/84208
URI	https://hdl.handle.net/2115/69868
タイトル	FOURTH-ORDER TOTAL VARIATION FLOW WITH DIRICHLET CONDITION : CHARACTERIZATION OF EVOLUTION AND EXTINCTION TIME ESTIMATES
著者	GIGA, YOSHIKAZU ; Kuroda, Hirotoshi ; Matsuoka, Hideki
著者名 GIGA, YOSHIKAZU
著者名 Kuroda, Hirotoshi
著者名 Matsuoka, Hideki
言語	英語
キーワード	Total variation ow
	extinction time
	Dirichlet boundary condition
	subdi erential
発行日	2015-02-17
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	1064
ページ	1-36
抄録	We consider a fourth-order total variation ow, which is studied in image recovery and materials science. In this paper, we characterize a total variation ow in H􀀀1-space with Dirichlet boundary condition. Furthermore, we show an extinction time estimate for the solution of a total variation ow with Dirichlet boundary condition. Giga and Kohn (2011) established the same extinction time estimate in periodic case. Their argument is based on interpolation inequalities. Using extension operators, we derive this type of inequalities, which we apply to the case of Dirichlet boundary condition.
資源タイプ	紀要論文
出版タイプ	Version of Record