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On instability of evolving hypersurfaces

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Please use this identifier to cite or link to this item:https://doi.org/10.14943/83366

Title: On instability of evolving hypersurfaces
Authors: Giga, Y. Browse this author
Yamauchi, K. Browse this author
Issue Date: 1-Nov-1993
Publisher: Department of Mathematics, Hokkaido University
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 219
Start Page: 1
End Page: 14
Abstract: A general parabolic evolution equation is considered for a closed hy­persurface in Euclidean space. All stationary solutions are shown to be Lyapunov unstable if the normal velocity of a hypersurface depends only on its normal and sec­ond fundamental form and is independent of its position. Instability of time periodic solution is also discussed.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/68970
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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