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02275aam a2200373 i 4500 001 C2068616C19D11EEA89D2B6520ECA4DB 003 SILO 005 20240202013317 008 231213s2023 fr b 000 0 eng d 020 $a 2856299784 020 $a 9782856299784 035 $a (OCoLC)1414009377 040 $a HVC $b eng $e rda $c HVC $d OCLCO $d QGE $d HUL $d CUY $d OCLCO $d UIU $d UMC $d IWA $d SILO 041 0 $a eng $b fre $b fre 100 1 $a Szeftel, JeÌreÌmie, $d 1977- $e author. 245 10 $a Parametrix for wave equations on a rough background. $n IV. $p Control of the error term / $c JeÌreÌmie Szeftel. 246 30 $a Control of the error term 246 3 $a Parametrix for wave equations on a rough background four, control of the error term 246 3 $a Parametrix for wave equations on a rough background 4, control of the error term 264 1 $a Paris : $b SocieÌteÌ matheÌmatique de France, $c 2023. 300 $a viii, 314 pages ; $c 24 cm 490 1 $a AsteÌrisque, $x 0303-1179 ; $v 444 504 $a Includes bibliographical references (pages 313-314). 520 $a "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." -- $c Back cover. 546 $a Text in English, abstract also in French. 650 0 $a Einstein field equations. 650 0 $a Differential equations, Partial. 650 0 $a Fourier integral operators. 773 18 $w 990002617290102756 $t AsteÌrisque. $g no:v. 444,2023 830 0 $a AsteÌrisque ; $v v. 444. 941 $a 1 952 $l USUX851 $d 20240305043834.0 956 $a http://locator.silo.lib.ia.us/search.cgi?index_0=id&term_0=C2068616C19D11EEA89D2B6520ECA4DB 994 $a C0 $b IWAInitiate Another SILO Locator Search