Space-time L^2-estimates and life-span of the Klainerman-Machedon radial solutions to some semi-linear wave equations


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/83807

Title:	Space-time L^2-estimates and life-span of the Klainerman-Machedon radial solutions to some semi-linear wave equations
Authors:	Hidano, Kunio Browse this author
Authors:	Yokoyama, Kazuyoshi Browse this author
Keywords:	semi-linear wave equations
	low-regularity
	life-span
Issue Date:	2004
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	655
Start Page:	1
End Page:	21
Abstract:	We consider the Cauchy problem for some semi-linear wave equations in three space dimensions and prove global or almost global existence of the Klainerman-Machedon radial solutions. The proof is carried out by a contraction-mapping argument based on a refined version of the Keel-Smith-Sogge estimate, together with the Morawetz-type inequality.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69461
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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