Dynamical systems method for solving nonlinear equations with non-smooth monotone operators
| dc.creator | Ramm, A. G. | |
| dc.date | 2004-04-23 | |
| dc.date.accessioned | 2026-07-07T05:07:41Z | |
| dc.date.available | 2026-07-07T05:07:41Z | |
| dc.description | Consider an operator equation (*) $B(u)+\ep u=0$ in a real Hilbert space, where $\ep>0$ is a small constant. The DSM (dynamical systems method) for solving equation (*) consists of a construction of a Cauchy problem, which has the following properties: 1) it has a global solution for an arbitrary initial data, 2) this solution tends to a limit as time tends to infinity, 3) the limit solves the equation $B(u)=0$. Existence of the unique solution is proved by the DSM for equation (*) with monotone hemicontinuous operators $B$ defined on all of$ If $\ep=0$ and equation (**) $B(u)=0$ is solvable, the DSM yields$ solution to (**). | |
| dc.identifier | https://arxiv.org/abs/math/0404437 | |
| dc.identifier | http://arxiv.org/abs/math/0404437 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70956 | |
| dc.subject | Functional Analysis | |
| dc.subject | 37C35, 37L05, 37N30, 47A52, 47J06, 65M30, 65N21 | |
| dc.title | Dynamical systems method for solving nonlinear equations with non-smooth monotone operators | |
| dc.type | text |