Nonexistence of solutions in $(0,1)$ for K-P-P-type equations for all $d\ge 1$
| dc.creator | Englander, J. | |
| dc.creator | Simon, P. L. | |
| dc.date | 2005-09-16 | |
| dc.date.accessioned | 2026-07-07T05:23:16Z | |
| dc.date.available | 2026-07-07T05:23:16Z | |
| dc.description | Consider the KPP-type equation of the form $Δu+f(u)=0$, where $f:[0,1] \to \mathbb R_{+}$ is a concave function. We prove for arbitrary dimensions that there is no solution bounded in $(0,1)$. The significance of this result from the point of view of probability theory is also discussed. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/math/0509384 | |
| dc.identifier | http://arxiv.org/abs/math/0509384 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76370 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Probability | |
| dc.subject | 35J60, 35J65; Secondary: 60J80 | |
| dc.title | Nonexistence of solutions in $(0,1)$ for K-P-P-type equations for all $d\ge 1$ | |
| dc.type | text |