Some identification problems for integro-differential operator equations
| dc.creator | Lorenzi, Alfredo | |
| dc.creator | Ramm, Alexander | |
| dc.date | 2000-11-17 | |
| dc.date.accessioned | 2026-07-07T04:38:40Z | |
| dc.date.available | 2026-07-07T04:38:40Z | |
| dc.description | We consider, in a Hilbert space $H$, the convolution integro-differential equation $u''(t)-h*Au(t)=f(t)$, $0\le t\le T$, $h*v(t)=\int_0^t h(t-s)v(s) ds$, where $A$ is a linear closed densely defined (possibly selfadjoint and/or positive definite) operator in $H$. Under suitable assumptions on the data we solve the inverse problem consisting of finding the kernel $h$ from the extra data (measured data) of the type $g(t):=(u(t),ϕ)$, where $ϕ$ is some eigenvector of $A^*$. An inverse problem for the first-order equation $u'(t)-l*Au(t)=f(t)$, $0\le t\le T$, is also studied when $A$ enjoys the same properties as in the previous case. | |
| dc.description | 15pp | |
| dc.identifier | https://arxiv.org/abs/math/0011132 | |
| dc.identifier | http://arxiv.org/abs/math/0011132 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60372 | |
| dc.subject | Functional Analysis | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Dynamical Systems | |
| dc.subject | 35R30, 45K05 | |
| dc.title | Some identification problems for integro-differential operator equations | |
| dc.type | text |