Geometric analysis of hyperbolic differential equations: an introduction
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 Lorentzi...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2010
|
| Series: | London Mathematical Society lecture note series
374 |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| 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 |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (ix, 118 pages) |
| ISBN: | 9781139107198 |
| DOI: | 10.1017/CBO9781139107198 |
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| 505 | 8 | |a 1. Introduction -- 2. Metrics and frames -- 3. Computing with frames -- 4. Energy inequalities and frames -- 5. The good components -- 6. Pointwise estimates and commutations -- 7. Frames and curvature -- 8. Nonlinear equations, a priori estimates and induction -- 9. Applications to some quasilinear hyperbolic problems -- References -- Index | |
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| contents | 1. Introduction -- 2. Metrics and frames -- 3. Computing with frames -- 4. Energy inequalities and frames -- 5. The good components -- 6. Pointwise estimates and commutations -- 7. Frames and curvature -- 8. Nonlinear equations, a priori estimates and induction -- 9. Applications to some quasilinear hyperbolic problems -- References -- Index |
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| discipline | Mathematik |
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| indexdate | 2024-07-10T07:39:17Z |
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| isbn | 9781139107198 |
| language | English |
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| spelling | Alinhac, S. Verfasser aut Geometric analysis of hyperbolic differential equations an introduction S. Alinhac Cambridge Cambridge University Press 2010 1 online resource (ix, 118 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 374 Title from publisher's bibliographic system (viewed on 05 Oct 2015) 1. Introduction -- 2. Metrics and frames -- 3. Computing with frames -- 4. Energy inequalities and frames -- 5. The good components -- 6. Pointwise estimates and commutations -- 7. Frames and curvature -- 8. Nonlinear equations, a priori estimates and induction -- 9. Applications to some quasilinear hyperbolic problems -- References -- Index 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 Quantentheorie Nonlinear wave equations Differential equations, Hyperbolic Quantum theory Geometry, Differential Nichtlineare Wellengleichung (DE-588)4042104-1 gnd rswk-swf Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd rswk-swf Hyperbolische Differentialgleichung (DE-588)4131213-2 s Nichtlineare Wellengleichung (DE-588)4042104-1 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-12822-3 https://doi.org/10.1017/CBO9781139107198 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Alinhac, S. Geometric analysis of hyperbolic differential equations an introduction 1. Introduction -- 2. Metrics and frames -- 3. Computing with frames -- 4. Energy inequalities and frames -- 5. The good components -- 6. Pointwise estimates and commutations -- 7. Frames and curvature -- 8. Nonlinear equations, a priori estimates and induction -- 9. Applications to some quasilinear hyperbolic problems -- References -- Index Quantentheorie Nonlinear wave equations Differential equations, Hyperbolic Quantum theory Geometry, Differential Nichtlineare Wellengleichung (DE-588)4042104-1 gnd Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd |
| subject_GND | (DE-588)4042104-1 (DE-588)4131213-2 |
| title | Geometric analysis of hyperbolic differential equations an introduction |
| title_auth | Geometric analysis of hyperbolic differential equations an introduction |
| title_exact_search | Geometric analysis of hyperbolic differential equations an introduction |
| title_full | Geometric analysis of hyperbolic differential equations an introduction S. Alinhac |
| title_fullStr | Geometric analysis of hyperbolic differential equations an introduction S. Alinhac |
| title_full_unstemmed | Geometric analysis of hyperbolic differential equations an introduction S. Alinhac |
| title_short | Geometric analysis of hyperbolic differential equations |
| title_sort | geometric analysis of hyperbolic differential equations an introduction |
| title_sub | an introduction |
| topic | Quantentheorie Nonlinear wave equations Differential equations, Hyperbolic Quantum theory Geometry, Differential Nichtlineare Wellengleichung (DE-588)4042104-1 gnd Hyperbolische Differentialgleichung (DE-588)4131213-2 gnd |
| topic_facet | Quantentheorie Nonlinear wave equations Differential equations, Hyperbolic Quantum theory Geometry, Differential Nichtlineare Wellengleichung Hyperbolische Differentialgleichung |
| url | https://doi.org/10.1017/CBO9781139107198 |
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