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On breakdown of solutions of a constrained gradient system of total variation

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Please use this identifier to cite or link to this item:https://doi.org/10.14943/83792

Title: On breakdown of solutions of a constrained gradient system of total variation
Authors: Giga, Yoshikazu Browse this author
Kuroda, Hirotoshi Browse this author
Keywords: total variation
breakdown
constrained gradient system
1-harmonic flow
Issue Date: 2004
Publisher: Department of Mathematics, Hokkaido University
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 639
Start Page: 1
End Page: 12
Abstract: A gradient system of total variation is considered for a mapping from the unit disk to the unit sphere in R3, For a class of initial data it is shown that a solution of its Dirichlet problem loses its smoothness in finite time.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69446
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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