Stability of the Einstein-Lichnerowicz constraints system

2013/12/23 by Olivier Druet, Druet, Olivier, Bruno Premoselli +1 · 1 citation
Mathematics · #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations #math.AP #msc:58J99 #msc:83C05

paper · pdf · doi:10.48550/arxiv.1312.6574

Minor changes, some typos fixed and references added

arxiv created 2014/05/23 · arxiv updated 2014/05/26

Abstract

We study the Einstein-Lichnerowicz constraints system, obtained through the conformal method when addressing the initial data problem for the Einstein equations in a scalar field theory. We prove that this system is stable with respect to the physics data when posed on the standard 3-sphere.

Citations

• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth

Cited by

• Compactness for the Hardy-Sobolev equation on manifolds

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