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The Hyperboloidal Foliation Method by Philippe G. Lefloch, Yue Ma

The Hyperboloidal Foliation Method

by Philippe G. Lefloch , Yue Ma
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Book cover type: Hardcover
  • ISBN13: 9789814641623
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: World Scientific Publishing Company
  • Publisher Imprint: World Scientific Publishing Company
  • Publication Date:
  • Pages: 160
  • Original Price: USD 75.0
  • Language: English
  • Edition: N/A
  • Item Weight: 386 grams
  • BISAC Subject(s): Physics / Relativity

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.

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