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Global existence of classical solutions to systems of nonlinear wave equations with different speed of propagation
Title: | Global existence of classical solutions to systems of nonlinear wave equations with different speed of propagation |
Authors: | Kubota, K. Browse this author | Yokoyama, Y. Browse this author |
Issue Date: | 1-Aug-1999 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 467 |
Start Page: | 1 |
End Page: | 105 |
Abstract: | This paper is concerned with a system of nonlinear wave equations in three space dimensions ∂2tui - c2i Δui = Fi(u, ∂u, ∂2u), i = 1,2,…,m, where O < c1 < c2 < · · · < Cm. We prove the global existence of classical solutions to the system with small initial data, provided pi satisfy "Null condition". |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/69217 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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