Periodic solutions of forced Kirchhoff equations
| dc.creator | Baldi, Pietro | |
| dc.date | 2007-01-14 | |
| dc.date | 2007-06-14 | |
| dc.date.accessioned | 2026-07-07T08:09:57Z | |
| dc.date.available | 2026-07-07T08:09:57Z | |
| dc.description | We consider Kirchhoff equations for vibrating bodies in any dimension in presence of a time-periodic external forcing with period 2pi/omega and amplitude epsilon, both for Dirichlet and for space-periodic boundary conditions. We prove existence, regularity and local uniqueness of time-periodic solutions of period 2pi/omega and order epsilon, by means of a Nash-Moser iteration scheme. The results hold for parameters (omega, epsilon) in Cantor sets having measure asymptotically full as epsilon tends to 0. (What's new in version 2: the case of finite-order Sobolev regularity, the case of space-periodic boundary conditions, a different iteration scheme in the proof, some references). | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/math/0701394 | |
| dc.identifier | http://arxiv.org/abs/math/0701394 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/131701 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Dynamical Systems | |
| dc.subject | 35L70; 45K05, 35B10, 37K55 | |
| dc.title | Periodic solutions of forced Kirchhoff equations | |
| dc.type | text |