It takes the average reader 2 hours and 40 minutes to read The Hyperboloidal Foliation Method by Philippe G LeFloch
Assuming a reading speed of 250 words per minute. Learn more
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. Contents:IntroductionThe Hyperboloidal Foliation and the Bootstrap StrategyDecompositions and Estimates for the CommutatorsThe Null Structure in the Semi-Hyperboloidal FrameSobolev and Hardy Inequalities on HyperboloidsRevisiting Scalar Wave EquationsFundamental L∞ and L2 EstimatesSecond-Order Dervatives of the Wave ComponentsNull Forms and Decay in TimeL2 Estimate on the Interaction TermsThe Local Well-Posedness TheoryBibliography Readership: Graduate students and researchers in analysis and differential equations. This book could serve as part of graduate course on nonlinear wave equations. Keywords:Nonlinear Waves;Hyperbolic System;Existence Theory;Curved Spacetime;Hyperboloidal;Foliation;Massive Scalar Field
The Hyperboloidal Foliation Method by Philippe G LeFloch is 160 pages long, and a total of 40,000 words.
This makes it 54% the length of the average book. It also has 49% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 3 hours and 38 minutes to read The Hyperboloidal Foliation Method aloud.
The Hyperboloidal Foliation Method is suitable for students ages 10 and up.
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