Nantilus
Parametrix for wave equations on a rough background III : space-time regularity of the phase
This book is dedicated to the construction and the control of a parametrix to the homogeneous wave equation g = 0, where g is a rough metric satisfying the Einstein vacuum equations. Controlling such a parametrix as well as its error term when one only assumes L bounds on the curvature tensor R of g...
Enregistré dans:
| Auteur principal : | |
|---|---|
| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Parametrix for wave equations on a rough background III, space-time regularity of the phase / Jérémie Szeftel |
| Publié : |
Paris :
Société mathématique de France
, 2018 |
| Description matérielle : | 1 vol. (VIII-321 p.) |
| Collection : | Astérisque ; 401 |
| Sujets : | |
| Documents associés : | space-time regularity of the phase:
Parametrix for wave equations on a rough background III Fait partie de l'ensemble: Astérisque |
| Résumé : | This book is dedicated to the construction and the control of a parametrix to the homogeneous wave equation g = 0, where g is a rough metric satisfying the Einstein vacuum equations. Controlling such a parametrix as well as its error term when one only assumes L bounds on the curvature tensor R of g is a major step of the proof of the bounded L curvature conjecture proposed by Sergiu Klainerman and solved by Sergiu Klainerman, Igor Rodnianski and the author. On a more general level, this book deals with the control of the eikonal equation on a rough background, and with the derivation of L bounds for Fourier integral operators on manifolds with rough phases and symbols, and as such is also of independent interest. [4e de couverture] |
|---|---|
| Notes : | Résumés en anglais et français |
| Historique des publications : | N° de : "Astérisque", ISSN 0303-1179, (2018) n° 401 |
| Bibliographie : | Bibliogr. p. [319]-321. Index |
| ISBN : | 978-2-85629-882-4 |