Geometric analysis of hyperbolic differential equations : an introduction
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The work Geometric analysis of hyperbolic differential equations : an introduction represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Geometric analysis of hyperbolic differential equations : an introduction
Resource Information
The work Geometric analysis of hyperbolic differential equations : an introduction represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Geometric analysis of hyperbolic differential equations : an introduction
 Title remainder
 an introduction
 Statement of responsibility
 S. Alinhac
 Language
 eng
 Summary

 "Its selfcontained presentation and 'doityourself' 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
 "The field of nonlinear hyperbolic equations or systems has seen a tremendous development since the beginning of the 1980s. We are concentrating here on multidimensional situations, and on quasilinear equations or systems, that is, when the coefficients of the principal part depend on the unknown function itself. The pioneering works by F. John, D. Christodoulou, L. Hörmander, S. Klainerman, A. Majda and many others have been devoted mainly to the questions of blowup, lifespan, shocks, global existence, etc. Some overview of the classical results can be found in the books of Majda [42] and Hörmander [24]. On the other hand, Christodoulou and Klainerman [18] proved in around 1990 the stability of Minkowski space, a striking mathematical result about the Cauchy problem for the Einstein equations. After that, many works have dealt with diagonal systems of quasilinear wave equations, since this is what Einstein equations reduce to when written in the socalled harmonic coordinates. The main feature of this particular case is that the (scalar) principal part of the system is a wave operator associated to a unique Lorentzian metric on the underlying spacetime"Provided by publisher
 Cataloging source
 DLC
 Dewey number
 515/.3535
 Index
 index present
 LC call number
 QA927
 LC item number
 .A3886 2010
 Literary form
 non fiction
 Nature of contents
 bibliography
 Series statement
 London Mathematical Society lecture note series
 Series volume
 374
Context
Context of Geometric analysis of hyperbolic differential equations : an introductionWork of
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