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Parametrix for wave equations on a rough background III : space-time regularity of the phase / Jeremie Szeftel.

By: Material type: TextTextLanguage: English Summary language: English, French Series: Asterisque ; 401.Publication details: Paris : Societe Mathematique de France, 2018.Description: viii, 321 pages ; 24 cmISBN:
  • 9782856298824
Subject(s): DDC classification:
  • 510=4 23 As853
Summary: This book is the third of a sequence of four papers dedicated to the construction and the control of a parametrix to the homogenous wave equation [square]gø=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 L² bounds on the curvature tensor R of g is a major step of the proof of the bounded L² curvature conjecture proposed in 2000 and solved in 2015 by S. Klainerman, I. 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 L² bounds for Fourier integral operators on manifolds with rough phases and symbols, and as such is also of independent interest.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 510=4 As853 (Browse shelf(Opens below)) Checked out 08/11/2019 C26642
Total holds: 0

Includes bibliographical references and index.

This book is the third of a sequence of four papers dedicated to the construction and the control of a parametrix to the homogenous wave equation [square]gø=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 L² bounds on the curvature tensor R of g is a major step of the proof of the bounded L² curvature conjecture proposed in 2000 and solved in 2015 by S. Klainerman, I. 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 L² bounds for Fourier integral operators on manifolds with rough phases and symbols, and as such is also of independent interest.

Includes abstract in English and French.

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