Classification of connecting solutions of semilinear parabolic equations
| dc.creator | Robinson, Michael | |
| dc.date | 2007-09-17 | |
| dc.date.accessioned | 2026-07-07T08:30:07Z | |
| dc.date.available | 2026-07-07T08:30:07Z | |
| dc.description | For a given semilinear parabolic equation with polynomial nonlinearity, many solutions blow up in finite time. For a certain large class of these equations, we show that some of the solutions which do not blow up actually tend to equilibria. The characterizing property of such solutions is a finite energy constraint, which comes about from the fact that this class of equations can be written as the $L^2$ gradient of a certain functional. | |
| dc.identifier | https://arxiv.org/abs/0709.2705 | |
| dc.identifier | http://arxiv.org/abs/0709.2705 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138164 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35B40; 35K55 | |
| dc.title | Classification of connecting solutions of semilinear parabolic equations | |
| dc.type | text |