Global regularity for a logarithmically supercritical defocusing nonlinear wave equation for spherically symmetric data

  title={Global regularity for a logarithmically supercritical defocusing nonlinear wave equation for spherically symmetric data},
  author={Terence Tao},
  journal={Journal of Hyperbolic Differential Equations},
  • T. Tao
  • Published 7 June 2006
  • Mathematics
  • Journal of Hyperbolic Differential Equations
We establish global regularity for the logarithmically energy-supercritical wave equation □u = u5log(2 + u2) in three spatial dimensions for spherically symmetric initial data, by modifying an argument of Ginibre, Soffer and Velo for the energy-critical equation. This example demonstrates that critical regularity arguments can penetrate very slightly into the supercritical regime. 

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