Conformal invariance and time decay for nonlinear wave equations

@article{Ginibre1987ConformalIA,
  title={Conformal invariance and time decay for nonlinear wave equations},
  author={Jean Ginibre and Giorgio Velo},
  journal={Annales De L Institut Henri Poincare-physique Theorique},
  year={1987},
  volume={47},
  pages={91-113}
}
  • J. Ginibre, G. Velo
  • Published 1987
  • Mathematics, Physics
  • Annales De L Institut Henri Poincare-physique Theorique
We study the implications of the approximate conformal invariance of the non linear wave equation □φ+f(φ)=0(*) on the time decay of its solutions. We first prove the conformal conservation law in as much generality as possible. We then derive a number of estimates of space-time weighted L'-norms in terms of the kinetic part of the conformal charge and deduce some decay properties of the solutions from them. Typically for f(φ)=φ|φ| p−1 with 4/(n−1)≤p−1 On etudie les implications de l'invariance… 

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