Instability of an equilibrium with negative definite linearization
| dc.creator | Robinson, Michael | |
| dc.date | 2007-02-19 | |
| dc.date | 2007-02-20 | |
| dc.date.accessioned | 2026-07-07T07:47:35Z | |
| dc.date.available | 2026-07-07T07:47:35Z | |
| dc.description | A nonlinear parabolic differential equation is presented which has at least one equilibrium. This equilibrium is shown to have a negative definite linearization, but a spectrum which includes zero. An elementary construction shows that the equilibrium is not stable. | |
| dc.description | v1: 6 pages; v2: 7 pages, fixes a glitch in the main theorem | |
| dc.identifier | https://arxiv.org/abs/math/0702560 | |
| dc.identifier | http://arxiv.org/abs/math/0702560 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124219 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37L15 (Primary); 35Q55 (Secondary) | |
| dc.title | Instability of an equilibrium with negative definite linearization | |
| dc.type | text |