Geometric analysis of hyperbolic differential equations an introduction

Its self-contained presentation and 'do-it-yourself' approach make this the perfect guide for graduate students and researchers wishing to access recent literature in the field of nonlinear wave equations and general relativity. It introduces all of the key tools and concepts from Lorentzi...

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Bibliographic Details
Main Author: Alinhac, S.
Format: eBook
Language:English
Published: Cambridge Cambridge University Press 2010
Series:London Mathematical Society lecture note series
Subjects:
Online Access:
Collection: Cambridge Books Online - Collection details see MPG.ReNa
Table of Contents:
  • 1. Introduction
  • 2. Metrics and frames
  • 3. Computing with frames
  • 4. Energy inequalities and frames
  • 5. The good components
  • 6. Pointwise estimates and commutations
  • 7. Frames and curvature
  • 8. Nonlinear equations, a priori estimates and induction
  • 9. Applications to some quasilinear hyperbolic problems
  • References
  • Index