The Resource Geometric analysis of hyperbolic differential equations : an introduction, S. Alinhac
Geometric analysis of hyperbolic differential equations : an introduction, S. Alinhac
Resource Information
The item Geometric analysis of hyperbolic differential equations : an introduction, S. Alinhac represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Geometric analysis of hyperbolic differential equations : an introduction, S. Alinhac represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- 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
- Language
- eng
- Extent
- ix, 118 pages
- Isbn
- 9780521128223
- 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
- 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
- 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
- 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
- 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
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Geometric-analysis-of-hyperbolic-differential/eh4gHRNe4y8/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Geometric-analysis-of-hyperbolic-differential/eh4gHRNe4y8/">Geometric analysis of hyperbolic differential equations : an introduction, S. Alinhac</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
