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Geometric Analysis of Hyperbolic Differential Equations: An Introduction
About this book
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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Yes, you can access Geometric Analysis of Hyperbolic Differential Equations: An Introduction by S. Alinhac in PDF and/or ePUB format, as well as other popular books in Matematica & Matematica generale. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Cover
- Title
- Copyright
- 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