A nonlinear singular perturbation problem
| dc.creator | Ramm, A. G. | |
| dc.date | 2004-05-03 | |
| dc.date.accessioned | 2026-07-07T06:32:36Z | |
| dc.date.available | 2026-07-07T06:32:36Z | |
| dc.description | Let F(u_\ve)+\ve(u_\ve-w)=0 \eqno{(1)} where $F$ is a nonlinear operator in a Hilbert space $H$, $w\in H$ is an element, and $\ve>0$ is a parameter. Assume that $F(y)=0$, and $F'(y)$ is not a boundedly invertible operator. Sufficient conditions are given for the existence of the solution to \eqref{e1.1} and for the convergence $\lim_{\ve\to 0}\|u_\ve-y\|=0$. An example of applications is considered. In this example $F$ is a nonlinear integral operator. | |
| dc.identifier | https://arxiv.org/abs/math-ph/0405001 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0405001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98950 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 47H15, 47H17, 45G10, 35B25 | |
| dc.title | A nonlinear singular perturbation problem | |
| dc.type | text |