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Geometric Analysis of Hyperbolic Differential Equations

Geometric Analysis of Hyperbolic Differential Equations : An Introduction.

・ISBN 978-0-521-12822-3 paper GB£ 58.00

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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-1-139-10719-8

著者・編者Alinhac, S.,
シリーズLondon Mathematical Society Lecture Note Series
出版社(Cambridge University Press, UK)
出版年月2010
ページ数130 pp.
言語ENG
ニュース番号<M25-2246>

解説

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.