Geometric Analysis of Hyperbolic Differential Equations: An Introduction by S. AlinhacGeometric Analysis of Hyperbolic Differential Equations: An Introduction by S. Alinhac

Geometric Analysis of Hyperbolic Differential Equations: An Introduction

byS. Alinhac

Paperback | June 28, 2010

Pricing and Purchase Info

$73.93

Earn 370 plum® points
Quantity:

In stock online

Ships free on orders over $25

Not available in stores

about

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.
Title:Geometric Analysis of Hyperbolic Differential Equations: An IntroductionFormat:PaperbackDimensions:128 pages, 8.98 × 5.98 × 0.31 inPublished:June 28, 2010Publisher:Cambridge University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0521128226

ISBN - 13:9780521128223

Reviews

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.

Editorial 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