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  3. Geometric Analysis of Hyperbolic Differential Equations: An Introduction
  • Cited by 36
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    • Publisher:
      Cambridge University Press
      Publication date:
      February 2012
      May 2010
      ISBN:
      9781139107198
      9780521128223
      DOI:
      https://doi.org/10.1017/CBO9781139107198
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.19kg, 130 Pages
      • Subjects:
      Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Geometry and Topology
      Series:
      London Mathematical Society Lecture Note Series (374)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Geometry and Topology
    Series:
    London Mathematical Society Lecture Note Series (374)
    Information

    Book description

    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.

    Reviews

    'This book provides an excellent introduction to nonlinear wave equations, and it can be recommended to anyone who wants to access the recent mathematical literature on this subject.'

    Source: Zentralblatt MATH

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