GLOBAL REGULARITY FOR A LOGARITHMICALLY SUPERCRITICAL DEFOCUSING NONLINEAR WAVE EQUATION FOR SPHERICALLY SYMMETRIC DATA

Terence Tao

Type: Article

Publication Date: 2007-05-23

Citations: 76

DOI: https://doi.org/10.1142/s0219891607001124

Abstract

We establish global regularity for the logarithmically energy-supercritical wave equation □u = u 5 log (2 + u 2 ) 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.

Locations

Journal of Hyperbolic Differential Equations - View
arXiv (Cornell University) - View - PDF
Journal of Hyperbolic Differential Equations - View
arXiv (Cornell University) - View - PDF

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