S. Alinhac

Geometric Analysis of Hyperbolic Differential Equations: An Introduction (eBook, PDF)

• Format: PDF

Produktbeschreibung

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 Lorentzian geometry (metrics, null frames, deformation tensors, etc.) and provides complete elementary proofs. The author also discusses applications to topics in nonlinear equations, including null conditions and stability of Minkowski space. No previous knowledge of geometry or relativity is required.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 20. Mai 2010
• Englisch
• ISBN-13: 9781139119351
• Artikelnr.: 38277168

Autorenporträt

S. Alinhac is Professor in the Department of Mathematics at the University of Paris-Sud 11, Orsay.

Inhaltsangabe

Preface
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.