Around the bounded <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>L</mml:mi> <mml:mn>2</mml:mn> </mml:msup></mml:math> curvature conjecture in general relativity

Sergiù Klainerman, Igor Rodnianski, Jérémie Szeftel

Type: Article

Publication Date: 2010-07-01

Citations: 0

DOI: https://doi.org/10.5802/jedp.53

Abstract

We report on recent progress obtained on the construction and control of a parametrix to the homogeneous wave equation □ g φ=0, where ≫ is a rough metric satisfying the Einstein vacuum equations. Controlling such a parametrix as well as its error term when one only assumes L 2 bounds on the curvature tensor R of ≫ is a major step towards the proof of the bounded L 2 curvature conjecture.

Locations

Journées Équations aux dérivées partielles - View - PDF

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