ELLIPTIC ESTIMATES INDEPENDENT OF DOMAIN EXPANSION


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/84026

Title:	ELLIPTIC ESTIMATES INDEPENDENT OF DOMAIN EXPANSION
Authors:	Cho, Yonggeun Browse this author
	Ozawa, Tohru Browse this author
	Shim, Yong-Sun Browse this author
Issue Date:	2007
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	876
Start Page:	1
End Page:	20
Abstract:	In this paper, we consider elliptic estimates for a system with mooth variable coeffcients on a domain ½ Rn; n ¸ 2 containing the origin. e first show the invariance of the estimates under a domain expansion de¯ned y the scale that y = Rx, x; y 2 Rn with parameter R > 1, provided that the oeffcients are in a homogeneous Sobolev space. Then we apply these invariant stimates to the global existence of unique strong solutions to a parabolic ystem de¯ned on an unbounded domain.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69685
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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