Global existence for energy critical waves in 3-d domains : Neumann boundary conditions

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dc.creatorBurq, N.
dc.creatorPlanchon, F.
dc.date2007-11-02
dc.date.accessioned2026-07-07T08:40:08Z
dc.date.available2026-07-07T08:40:08Z
dc.descriptionWe prove that the defocusing quintic wave equation, with Neumann boundary conditions, is globally wellposed on $H^1_N(Ω) \times L^2(Ω)$ for any smooth (compact) domain $Ω\subset \mathbb{R}^3$. The proof relies on one hand on $L^p$ estimates for the spectral projector by Smith and Sogge, and on the other hand on a precise analysis of the boundary value problem, which turns out to be much more delicate than in the case of Dirichlet boundary conditions.
dc.description21 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0711.0275
dc.identifierhttp://arxiv.org/abs/0711.0275
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141295
dc.subjectAnalysis of PDEs
dc.titleGlobal existence for energy critical waves in 3-d domains : Neumann boundary conditions
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