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

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/84208

Title: FOURTH-ORDER TOTAL VARIATION FLOW WITH DIRICHLET CONDITION : CHARACTERIZATION OF EVOLUTION AND EXTINCTION TIME ESTIMATES
Authors: GIGA, YOSHIKAZU Browse this author
Kuroda, Hirotoshi Browse this author
Matsuoka, Hideki Browse this author
Keywords: Total variation ow
extinction time
Dirichlet boundary condition
subdi erential
Issue Date: 17-Feb-2015
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 1064
Start Page: 1
End Page: 36
Abstract: 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.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69868
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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