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The Resource Geometric analysis of hyperbolic differential equations : an introduction, S. Alinhac

Geometric analysis of hyperbolic differential equations : an introduction, S. Alinhac

Label
Geometric analysis of hyperbolic differential equations : an introduction
Title
Geometric analysis of hyperbolic differential equations
Title remainder
an introduction
Statement of responsibility
S. Alinhac
Creator
Subject
Language
eng
Summary
  • "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
  • "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 so-called 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 space-time"--Provided by publisher
Member of
Cataloging source
DLC
http://library.link/vocab/creatorName
Alinhac, S.
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
http://library.link/vocab/subjectName
  • Nonlinear wave equations
  • Differential equations, Hyperbolic
  • Quantum theory
  • Geometry, Differential
Label
Geometric analysis of hyperbolic differential equations : an introduction, S. Alinhac
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
489001674
Dimensions
23 cm
Extent
ix, 118 pages
Isbn
9780521128223
Isbn Type
(pbk.)
Lccn
2010001099
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
(OCoLC)489001674
Label
Geometric analysis of hyperbolic differential equations : an introduction, S. Alinhac
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
489001674
Dimensions
23 cm
Extent
ix, 118 pages
Isbn
9780521128223
Isbn Type
(pbk.)
Lccn
2010001099
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
(OCoLC)489001674

Library Locations

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      38.944377 -92.326537
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