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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...
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| Main Author : | |
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| Format : | Book |
| Language : | anglais |
| Title statement : | Parametrix for wave equations on a rough background III, space-time regularity of the phase / Jérémie Szeftel |
| Published : |
Paris :
Société mathématique de France
, 2018 |
| Physical Description : | 1 vol. (VIII-321 p.) |
| Series : | Astérisque ; 401 |
| Subjects : | |
| Related Items : | space-time regularity of the phase:
Parametrix for wave equations on a rough background III In: Astérisque |
| Summary : | 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] |
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| Notes : | Résumés en anglais et français |
| Publication history : | N° de : "Astérisque", ISSN 0303-1179, (2018) n° 401 |
| Bibliography : | Bibliogr. p. [319]-321. Index |
| ISBN : | 978-2-85629-882-4 |