Umfang:
IX, 118 S.
Ausgabe:
1. publ.
ISBN:
0521128226
,
9780521128223
Serie:
London Mathematical Society lecture note series 374
Inhalt:
"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"--Provided by publisher
Anmerkung:
Includes bibliographical references and index
,
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.
Weitere Ausg.:
Erscheint auch als Online-Ausgabe Alinhac, S. Geometric analysis of hyperbolic differential equations Cambridge : Cambridge University Press, 2010 ISBN 9781139107198
Sprache:
Englisch
Fachgebiete:
Mathematik
Schlagwort(e):
Hyperbolische Differentialgleichung
;
Nichtlineare Wellengleichung
;
Einführung
Mehr zum Autor:
Alinhac, Serge 1948-
