Singularities in Linear Wave Propagation
These lecture notes stemming from a course given at the Nankai Institute for Mathematics, Tianjin, in 1986 center on the construction of parametrices for fundamental solutions of hyperbolic differential and pseudodifferential operators. The greater part collects and organizes known material relating...
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| Main Author: | |
|---|---|
| Format: | Livre numérique |
| Language: | Anglais |
| Published: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Series: | Lecture notes in mathematics
1241 |
| Subjects: | |
| Online Access: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Singularities in linear wave propagation, Lars Gårding, 1987, Berlin, Springer-Verlag, 1 volume (123 pages), Lecture notes in mathematics, 0-387-18001-X • Singularities in Linear Wave Propagation, Texte imprimé, 9783662189511 |
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| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 084 | |a 35-xx. 1980 | ||
| 084 | |a 35Lxx. 1980 | ||
| 100 | 1 | |a Gårding, Lars, |d 1919-2014. | |
| 245 | 1 | 0 | |a Singularities in Linear Wave Propagation |c Lars Gårding. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1241 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Singularities in linear wave propagation -- Hyperbolic operators with constant coefficients -- Wave front sets and oscillatory integrals -- Pseudodifferential operators -- The Hamilton-Jacobi equation and symplectic geometry -- A global parametrix for the fundamental solution of a first order hyperbolic pseudodifferential operator -- Changes of variables and duality for general oscillatory integrals -- Sharp and diffuse fronts of paired oscillatory integrals. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a These lecture notes stemming from a course given at the Nankai Institute for Mathematics, Tianjin, in 1986 center on the construction of parametrices for fundamental solutions of hyperbolic differential and pseudodifferential operators. The greater part collects and organizes known material relating to these constructions. The first chapter about constant coefficient operators concludes with the Herglotz-Petrovsky formula with applications to lacunas. The rest is devoted to non-degenerate operators. The main novelty is a simple construction of a global parametrix of a first-order hyperbolic pseudodifferential operator defined on the product of a manifold and the real line. At the end, its simplest singularities are analyzed in detail using the Petrovsky lacuna edition. | ||
| 650 | |a Équations différentielles hyperboliques | ||
| 650 | |a Singularités (mathématiques) | ||
| 650 | |a Analyse mathématique | ||
| 650 | |a Théorie du mouvement ondulatoire | ||
| 776 | 0 | |0 020303416 |t Singularities in linear wave propagation |f Lars Gårding |d 1987 |c Berlin |n Springer-Verlag |p 1 volume (123 pages) |s Lecture notes in mathematics |z 0-387-18001-X | |
| 776 | 0 | |t Singularities in Linear Wave Propagation |b Texte imprimé |z 9783662189511 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0073088 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-JGVR6Q8S-L |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750670444 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0073088 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754019349 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0073088 |z Accès INSA CVL | |
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