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Geometric Analysis of Hyperbolic Differential Equations: An Introduction S. Alinhac (Universite de Paris XI)

Geometric Analysis of Hyperbolic Differential Equations: An Introduction By S. Alinhac (Universite de Paris XI)

Geometric Analysis of Hyperbolic Differential Equations: An Introduction by S. Alinhac (Universite de Paris XI)


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Summary

Its self-contained presentation and 'do-it-yourself' approach makes this the perfect guide for graduate students wishing to access recent literature in the field of mathematical relativity. It introduces all of the key tools and concepts from Lorentzian geometry and provides complete elementary proofs. No previous knowledge of geometry is required.

Geometric Analysis of Hyperbolic Differential Equations: An Introduction Summary

Geometric Analysis of Hyperbolic Differential Equations: An Introduction by S. Alinhac (Universite de Paris XI)

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.

Geometric Analysis of Hyperbolic Differential Equations: An Introduction Reviews

'This book provides an excellent introduction to nonlinear wave equations, and it can be recommended to anyone who wants to access the recent mathematical literature on this subject.' Zentralblatt MATH

About S. Alinhac (Universite de Paris XI)

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

Table of Contents

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.

Additional information

NLS9780521128223
9780521128223
0521128226
Geometric Analysis of Hyperbolic Differential Equations: An Introduction by S. Alinhac (Universite de Paris XI)
New
Paperback
Cambridge University Press
2010-05-20
130
N/A
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