On uniqueness of large solutions of nonlinear parabolic equations in nonsmooth domains
| dc.creator | Sayed, Waad Al | |
| dc.creator | Veron, Laurent | |
| dc.date | 2008-07-20 | |
| dc.date | 2008-08-14 | |
| dc.date.accessioned | 2026-07-07T09:56:22Z | |
| dc.date.available | 2026-07-07T09:56:22Z | |
| dc.description | We study the existence and uniqueness of the positive solutions of the problem (P): $\partial_tu-Δu+u^q=0$ ($q>1$) in $Ω\times (0,\infty)$, $u=\infty$ on $\partialΩ\times (0,\infty)$ and $u(.,0)\in L^1(Ω)$, when $Ω$ is a bounded domain in $\mathbb R^N$. We construct a maximal solution, prove that this maximal solution is a large solution whenever $q<N/(N-2)$ and it is unique if $\partialΩ=\partial\barΩ^c$. If $\partialΩ$ has the local graph property, we prove that there exists at most one solution to problem (P) | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/0807.3177 | |
| dc.identifier | http://arxiv.org/abs/0807.3177 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/166953 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35K60, 34 | |
| dc.title | On uniqueness of large solutions of nonlinear parabolic equations in nonsmooth domains | |
| dc.type | text |