Geometric Analysis of Hyperbolic Differential Equations: An - Introductio

Informationen zum Autor S. Alinhac is Professor in the Department of Mathematics at the University of Paris-Sud 11, Orsay. Klappentext A self-contained presentation of the tools of Lorentzian geometry necessary to access recent works in mathematical relativity. Zusammenfassung 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. Inhaltsverzeichnis 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.

Dettagli sul prodotto

• Autori: S. Alinhac, Serge Alinhac
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 20.05.2010
• EAN: 9780521128223
• ISBN: 978-0-521-12822-3
• Pagine: 130
• Serie: London Mathematical Society Le
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Analisi