A remark on the almost global existence theorems of Keel, Smith and Sogge


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/48862

Title:	A remark on the almost global existence theorems of Keel, Smith and Sogge
Authors:	Hidano, Kunio Browse this author
Authors:	Yokoyama, Kazuyoshi Browse this author
Keywords:	semi-linear wave equation
	null condition
	global existence
	space-time L2-estimate
	35-xx PARTIAL DIFFERENTIAL EQUATIONS
Issue Date:	2004
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	659
Start Page:	1
End Page:	41
Abstract:	We shall give a new proof of temporally global existence of small solutions for systems of semi-linear wave equations. Our proof uses the Klainerman-Sideris inequality and a space-time L^2-estimate. We shall also discuss whether the scale-invariant version of the space-time L^2-estimates can hold, and obtain some related estimates. Among other things, we prove that the Keel-Smith-Sogge estimate actually holds in all space dimensions.
Type:	bulletin (article)
URI:	http://eprints3.math.sci.hokudai.ac.jp/359/
URI:	http://hdl.handle.net/2115/45520
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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