Scattering for the Beam equation in low dimensions
| dc.creator | Pausader, Benoit | |
| dc.date | 2009-03-23 | |
| dc.date | 2009-04-21 | |
| dc.date.accessioned | 2026-07-07T13:06:17Z | |
| dc.date.available | 2026-07-07T13:06:17Z | |
| dc.description | In this paper, we prove scattering for the defocusing Beam equation u_{tt}+D^2u+mu+ |u|^{p-1}u=0 in the energy space in low dimensions 1< n <5 for p>1+8/n. The main difficulty is the absence of a Morawetz-type estimate and of a Galilean transformation in order to be able to control the Momentum vector. We overcome the former by using a strategy of Kenig and Merle derived from concentration-compactness ideas, and the latter by considering a Virial-type identity in the direction orthogonal to the Momentum vector. | |
| dc.description | 23 pages, submitted. Proof of Proposition 1.2 corrected | |
| dc.identifier | https://arxiv.org/abs/0903.3777 | |
| dc.identifier | http://arxiv.org/abs/0903.3777 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/227736 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35Q99 | |
| dc.title | Scattering for the Beam equation in low dimensions | |
| dc.type | text |