| Titre : | The Cauchy problem |
| Auteurs : | Hector O. (1938-....) Fattorini, Auteur |
| Type de document : | texte imprimé |
| Editeur : | Cambridge : Cambridge University Press, 2008 |
| Collection : | Encyclopedia of mathematics and its applications, ISSN 0953-4806 |
| ISBN/ISSN/EAN : | 978-0-521-09686-7 |
| Format : | XXII, 636 p. / ill. / 24 cm |
| Note générale : | Bibliogr. p. 510-626. - Index |
| Langues : | Anglais |
| Index. décimale : | 517.955 (Problèmes de Cauchy pour les équations aux dérivées partielles ) |
| Tags : | Mathematics (general) Mathematics Differential and Integral Equations Dynamical systems and control theory Mathématiques (général) Mathématiques Équations différentielles et intégrales Systèmes dynamiques et théorie du contrôle |
| Résumé : | This volume deals with the Cauchy or initial value problem for linear differential equations. It treats in detail some of the applications of linear space methods to partial differential equations, especially the equations of mathematical physics such as the Maxwell, Schrödinger, and Dirac equations. Background material presented in the first chapter makes the book accessible to mathematicians and physicists who are not specialists in this area as well as to graduate students. |
| Note de contenu : |
Summary :
1. Elements of functional analysis 2. The cauchy problem for some equations of mathematical physics: the abstract cauchy problem 3. Properly posed cauchy problems: general theory 4. Dissipative operators and applications 5. Abstract parabolic equations: applications to second order parabolic equations 6. Perturbation and approximation of abstract differential equations 7. Some improperly posed cauchy problems 8. The abstract cauchy problem for time-dependent equations 9. The cauchy problem in the sense of vector-valued distributions |
Exemplaires (1)
| Cote | Support | Localisation | Section | Disponibilité | Etat_Exemplaire |
|---|---|---|---|---|---|
| 517.955 FAT | Papier | Bibliothèque Centrale | Mathématiques | Disponible | Consultation sur place |
