The Hyperbolic Cauchy Problem
The approach to the Cauchy problem taken here by the authors is based on theuse of Fourier integral operators with a complex-valued phase function, which is a time function chosen suitably according to the geometry of the multiple characteristics. The correctness of the Cauchy problem in the Gevrey...
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| Autores principales: | , |
|---|---|
| Formato: | Livre numérique |
| Lenguaje: | Anglais |
| Publicado: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Colección: | Lecture notes in mathematics
1505 |
| Materias: | |
| Acceso en línea: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The hyperbolic Cauchy problem, Kunihiko Kajitani, Tatsuo Nishitani, Berlin, Springer, 1991, 1 vol. (VI-167 p.), Lecture notes in mathematics, 3-540-55018-6 • The Hyperbolic Cauchy Problem, Texte imprimé, 9783662191026 |
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| 100 | 1 | |a Kajitani, Kunihiko, |d 1941- | |
| 245 | 1 | 0 | |a The Hyperbolic Cauchy Problem |c Kunihiko Kajitani, Tatsuo Nishitani. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1505 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 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 The approach to the Cauchy problem taken here by the authors is based on theuse of Fourier integral operators with a complex-valued phase function, which is a time function chosen suitably according to the geometry of the multiple characteristics. The correctness of the Cauchy problem in the Gevrey classes for operators with hyperbolic principal part is shown in the first part. In the second part, the correctness of the Cauchy problem for effectively hyperbolic operators is proved with a precise estimate of the loss of derivatives. This method can be applied to other (non) hyperbolic problems. The text is based on a course of lectures given for graduate students but will be of interest to researchers interested in hyperbolic partial differential equations. In the latter part the reader is expected to be familiar with some theory of pseudo-differential operators. | ||
| 650 | |a Équations différentielles hyperboliques | ||
| 650 | |a Problème de Cauchy | ||
| 650 | |a Analyse mathématique | ||
| 650 | |a Opérateurs intégraux de Fourier | ||
| 650 | |a Opérateurs différentiels partiels | ||
| 700 | 1 | |a Nishitani, Tatsuo, |d 1950- |4 aut | |
| 776 | 0 | |0 022499768 |t The hyperbolic Cauchy problem |f Kunihiko Kajitani, Tatsuo Nishitani |c Berlin |n Springer |d 1991 |p 1 vol. (VI-167 p.) |s Lecture notes in mathematics |z 3-540-55018-6 | |
| 776 | 0 | |t The Hyperbolic Cauchy Problem |b Texte imprimé |z 9783662191026 | |
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