Scale-Invariant Extinction Time Estimates for Some Singular Diffusion Equations


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/84110

Title:	Scale-Invariant Extinction Time Estimates for Some Singular Diffusion Equations
Authors:	Giga, Yoshikazu Browse this author
Authors:	Kohn, Robert V. Browse this author
Issue Date:	20-Jul-2010
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	963
Start Page:	1
End Page:	32
Abstract:	We study three singular parabolic evolutions: the second-order total variation ｆｌow, the fourth-order total variation ow, and a fourth-order surface di usion law. Each has the property that the solution becomes identically zero in nite time. We prove scale-invariant estimates for the extinction time, using a simple argument which combines an energy estimate with a suitable Sobolev-type inequality.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69770
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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