On the Solvability of Some Abstract Differential Equations
| dc.creator | Diagana, Toka | |
| dc.date | 2003-06-21 | |
| dc.date.accessioned | 2026-07-07T04:59:06Z | |
| dc.date.available | 2026-07-07T04:59:06Z | |
| dc.description | This paper is concerned with the solvability of some abstract differential equation of type $$\dot u(t) + Au(t) + Bu(t) \ni f(t), t \in (0,T], u(0) = 0,$$ where $A$ is a linear selfadjoint operator and $B$ is a nonlinear(possibly multi-valued)maximal monotone operator in a (real) Hilbert space ${\mathbb H}$ with the normalization $0 \in B (0)$. We use the concept of variational sum introduced by H. Attouch, J.-B. Baillon, and M. Théra, to investigate solutions to the given abstract differential equation. Several applications will be discussed, among them the case where $B = \subdifferential ϕ$, the subdifferential of a convex semicontinuous proper function $ϕ$. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0306312 | |
| dc.identifier | http://arxiv.org/abs/math/0306312 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67847 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 47H14; 35B15; 47J35 | |
| dc.title | On the Solvability of Some Abstract Differential Equations | |
| dc.type | text |