HYPERBOLOIDAL FOLIATION METHOD, THE - SERIES IN APPLIED AND COMPUTATIONAL MATHEMATICS 2

PHILIPPE G LEFLOCH

ISBN 10: 9814641626 / ISBN 13: 9789814641623

Published by World Scientific Publishing Company, 2014

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Bibliographic Details

• Title: HYPERBOLOIDAL FOLIATION METHOD, THE - SERIES IN APPLIED AND COMPUTATIONAL MATHEMATICS 2
• Publisher: World Scientific Publishing Company
• Publication Date: 2014
• Language: English
• ISBN 10: 9814641626
• ISBN 13: 9789814641623
• Binding: Hardcover
• Condition: Brand New

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Synopsis

The "Hyperboloidal Foliation Method" introduced in this monograph is based on a (3 + 1) foliation of Minkowski spacetime by hyperboloidal hypersurfaces. This method allows the authors to establish global-in-time existence results for systems of nonlinear wave equations posed on a curved spacetime. It also allows to encompass the wave equation and the Klein-Gordon equation in a unified framework and, consequently, to establish a well-posedness theory for a broad class of systems of nonlinear wave-Klein-Gordon equations. This book requires certain natural (null) conditions on nonlinear interactions, which are much less restrictive that the ones assumed in the existing literature. This theory applies to systems arising in mathematical physics involving a massive scalar field, such as the Dirac-Klein-Gordon systems.