The Locator -- [(title = "Wave")]

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Author:
Szeftel, Jérémie, 1977- author.
Title:
Parametrix for wave equations on a rough background. IV. Control of the error term / Jérémie Szeftel.
Publisher:
Société mathématique de France,
Copyright Date:
2023
Description:
viii, 314 pages ; 24 cm
Subject:
Einstein field equations.
Differential equations, Partial.
Fourier integral operators.
Notes:
Includes bibliographical references (pages 313-314).
Summary:
"This book is dedicated to the construction and the control of a parametrix to the homogeneous wave equation []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 Klainerman (2000), and solved jointly in Klainerman, Rodnianski & Szeftel (2015). 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." -- Back cover.
Series:
Astérisque, 0303-1179 ; 444
ISBN:
2856299784
9782856299784
OCLC:
(OCoLC)1414009377
Locations:
USUX851 -- Iowa State University - Parks Library (Ames)

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