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 #Nonlinear Partial Differential Equations #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1312.6574

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

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• Compactness for the Hardy-Sobolev equation on manifolds

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