Geometric analysis of hyperbolic differential equations : an introduction / S. Alinhac.

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"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 geomet...

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Bibliographic Details
Uniform Title:London Mathematical Society lecture note series ; 374.
Main Author: Alinhac, S. (Serge)
Language:English
Published: Cambridge, UK ; New York : Cambridge University Press, 2010.
Series:London Mathematical Society lecture note series ; 374.
Subjects:
Nonlinear wave equations.
Differential equations, Hyperbolic.
Quantum theory.
Geometry, Differential.
Physical Description:ix, 118 pages.
Format: Book
Contents:
  • Machine generated contents note: 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.