The Hyperboloidal Foliation Method (Series in Applied and - download pdf or read online

By Philippe G LeFloch,Yue Ma

ISBN-10: 9814641626

ISBN-13: 9789814641623

The “Hyperboloidal Foliation process” brought during this monograph relies on a (3 + 1) foliation of Minkowski spacetime by means of hyperboloidal hypersurfaces. this technique permits the authors to set up global-in-time life effects for platforms of nonlinear wave equations posed on a curved spacetime. It additionally permits to surround the wave equation and the Klein-Gordon equation in a unified framework and, accordingly, to set up a well-posedness thought for a extensive type of platforms of nonlinear wave-Klein-Gordon equations. This ebook calls for convinced traditional (null) stipulations on nonlinear interactions, that are less restrictive that those assumed within the current literature. This conception applies to structures bobbing up in mathematical physics concerning a huge scalar box, resembling the Dirac-Klein-Gordon systems.

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The Hyperboloidal Foliation Method (Series in Applied and Computational Mathematics) by Philippe G LeFloch,Yue Ma


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