Some Blow-Up Problems for a Semilinear Parabolic Equation with a Potential
| dc.creator | Cheng, Ting | |
| dc.creator | Zheng, Gao-Feng | |
| dc.date | 2007-05-13 | |
| dc.date.accessioned | 2026-07-07T08:01:20Z | |
| dc.date.available | 2026-07-07T08:01:20Z | |
| dc.description | The blow-up rate estimate for the solution to a semilinear parabolic equation $u_t=Δu+V(x) |u|^{p-1}u$ in $Ω\times (0,T)$ with 0-Dirichlet boundary condition is obtained. As an application, it is shown that the asymptotic behavior of blow-up time and blow-up set of the problem with nonnegative initial data $u(x,0)=M\vf (x)$ as $M$ goes to infinity, which have been found in \cite{cer}, are improved under some reasonable and weaker conditions compared with \cite{cer}. | |
| dc.description | 29 pages | |
| dc.identifier | https://arxiv.org/abs/0705.1828 | |
| dc.identifier | http://arxiv.org/abs/0705.1828 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/128879 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35K20 | |
| dc.title | Some Blow-Up Problems for a Semilinear Parabolic Equation with a Potential | |
| dc.type | text |