Geometric Analysis of Hyperbolic Different...

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

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

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.

Details

Erscheinungsjahr:	2015
Fachbereich:	Analysis
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
ISBN-13:	9780521128223
ISBN-10:	0521128226
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Alinhac, S.
Hersteller:	Cambridge University Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	229 x 152 x 7 mm
Von/Mit:	S. Alinhac
Erscheinungsdatum:	29.06.2015
Gewicht:	0,201 kg