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

@article{Tao2006GlobalRF,
title={Global regularity for a logarithmically supercritical defocusing nonlinear wave equation for spherically symmetric data},
author={Terence Tao},
journal={Journal of Hyperbolic Differential Equations},
year={2006},
volume={04},
pages={259-265}
}
• 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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