Global Regularity for a Logarithmically Supercritical Defocusing Nonlinear Wave Equation for Spherically Symmetric Data
نویسنده
چکیده
We establish global regularity for the logarithmically energy-supercritical wave equation 2u = u log(2 + u) in three spatial dimensions for spherically symmetric initial data, by modifying an argument of Ginibre, Soffer and Velo [3] for the energy-critical equation. This example demonstrates that critical regularity arguments can penetrate very slightly into the supercritical regime.
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