Instability of an equilibrium of a partial differential equation
| dc.creator | Robinson, Michael | |
| dc.date | 2007-04-30 | |
| dc.date | 2007-09-09 | |
| dc.date.accessioned | 2026-07-07T08:28:05Z | |
| dc.date.available | 2026-07-07T08:28:05Z | |
| dc.description | A nonlinear parabolic differential equation with a quadratic nonlinearity is presented which has at least one equilibrium. The linearization about this equilibrium is asymptotically stable, but by using a technique inspired by H. Fujita, we show that the equilibrium is unstable in the nonlinear setting. The perturbations used have the property that they are small in every $L^p$ norm, yet they result in solutions which fail to be global. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/0704.3989 | |
| dc.identifier | http://arxiv.org/abs/0704.3989 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137488 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37L15 (Primary) 35Q55 (Secondary) | |
| dc.title | Instability of an equilibrium of a partial differential equation | |
| dc.type | text |