A singular perturbation problem
| dc.creator | Ramm, A. G. | |
| dc.date | 2004-10-20 | |
| dc.date.accessioned | 2026-07-07T05:13:27Z | |
| dc.date.available | 2026-07-07T05:13:27Z | |
| dc.description | Consider the equation $-s^2Δu_s+q(x)u_s=f(u_s)$ in $\R^3$, $|u(\infty)|<\infty$, $s=const>0$. Under what assumptions on $q(x)$ and $f(u)$ can one prove that the solution $u_s$ exists and $\lim_{s\to 0} u_s=u(x)$, where $u(x)$ solves the limiting problem $q(x)u=f(u)$? These are the questions discussed in the paper. | |
| dc.identifier | https://arxiv.org/abs/math/0410451 | |
| dc.identifier | http://arxiv.org/abs/math/0410451 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72951 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35J60, 35B25 | |
| dc.title | A singular perturbation problem | |
| dc.type | text |