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

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dc.creatorTao, Terence
dc.date2006-06-07
dc.date.accessioned2026-07-07T07:16:59Z
dc.date.available2026-07-07T07:16:59Z
dc.descriptionWe establish global regularity for the logarithmically energy-supercritical wave equation $\Box u = u^5 \log(2+u^2)$ in three spatial dimensions for spherically symmetric initial data, by modifying an argument of Ginibre, Soffer and Velo \cite{gsv} for the energy-critical equation. This example demonstrates that critical regularity arguments can penetrate very slightly into the supercritical regime.
dc.description6 pages, no figures. Submitted, J. Hyperbolic Diff. Eq
dc.identifierhttps://arxiv.org/abs/math/0606145
dc.identifierhttp://arxiv.org/abs/math/0606145
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113790
dc.subjectAnalysis of PDEs
dc.subject35L15
dc.titleGlobal regularity for a logarithmically supercritical defocusing nonlinear wave equation for spherically symmetric data
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