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World Scientific Publishing Company Incorporated

The Hyperboloidal Foliation Method

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Product Code: 9789814641623
ISBN13: 9789814641623
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$81.24

The Hyperboloidal Foliation Method

$81.24
 
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.


Author: Philippe G. LeFloch, Yue Ma
Publisher: World Scientific Publishing Company Incorporated
Publication Date: Jan 21, 2015
Number of Pages: 149 pages
Language: English
Binding: Hardcover
ISBN-10: 9814641626
ISBN-13: 9789814641623
 

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