Global existence for energy critical waves in 3-D domains
| dc.creator | Burq, Nicolas | |
| dc.creator | Lebeau, Gilles | |
| dc.creator | Planchon, Fabrice | |
| dc.date | 2006-07-25 | |
| dc.date.accessioned | 2026-07-07T07:20:54Z | |
| dc.date.available | 2026-07-07T07:20:54Z | |
| dc.description | We prove that the defocusing quintic wave equation, with Dirichlet boundary conditions, is globally well posed on $H^1_0(Ω) \times L^2(Ω)$ for any smooth (compact) domain $Ω\subset \mathbb{R}^3$. The main ingredient in the proof is an $L^5$ spectral projector estimate, obtained recently by Smith and Sogge, combined with a precise study of the boundary value problem. | |
| dc.description | 15 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/math/0607631 | |
| dc.identifier | http://arxiv.org/abs/math/0607631 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115116 | |
| dc.subject | Analysis of PDEs | |
| dc.title | Global existence for energy critical waves in 3-D domains | |
| dc.type | text |