The balance between diffusion and absorption in semilinear parabolic equations
| dc.creator | Shishkov, Andrey | |
| dc.creator | Veron, Laurent | |
| dc.date | 2008-05-24 | |
| dc.date.accessioned | 2026-07-07T12:19:13Z | |
| dc.date.available | 2026-07-07T12:19:13Z | |
| dc.description | Let $h:[0,\infty)\mapsto [0,\infty)$ be continuous and nondecreasing, $h(t)>0$ if $t>0$, and $m,q$ be positive real numbers. We investigate the behavior when $k\to\infty$ of the fundamental solutions $u=u_{k}$ of $\prt_{t} u-Δu^m+h(t)u^q=0$ in $Ω\ti (0,T)$ satisfying $u_{k}(x,0)=kδ_0$. The main question is wether the limit is still a solution of the above equation with an isolated singularity at $(0,0)$, or a solution of the associated ordinary differential equation $ u'+h(t)u^q=0$ which blows-up at $t=0$. | |
| dc.identifier | https://arxiv.org/abs/0805.3789 | |
| dc.identifier | http://arxiv.org/abs/0805.3789 | |
| dc.identifier | Rend. Lincei, Mat. Appl. 18 (2007) 59-96 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/212676 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35K60 | |
| dc.title | The balance between diffusion and absorption in semilinear parabolic equations | |
| dc.type | text |