Parabolic integrodifferential identification problems related to radial memory kernels I
| dc.creator | Favaron, A. | |
| dc.creator | Lorenzi, A. | |
| dc.date | 2006-07-13 | |
| dc.date.accessioned | 2026-07-07T07:18:18Z | |
| dc.date.available | 2026-07-07T07:18:18Z | |
| dc.description | We are concerned with the problem of recovering the radial kernel $k$, depending also on time, in a parabolic integro-differential equation $$D_{t}u(t,x)={\cal A}u(t,x)+\int_0^t k(t-s,|x|){\cal B}u(s,x)ds +\int_0^t D_{|x|}k(t-s,|x|){\cal C}u(s,x)ds+f(t,x),$$ ${\cal A}$ being a uniformly elliptic second-order linear operator in divergence form. We single out a special class of operators ${\cal A}$ and two pieces of suitable additional information for which the problem of identifying $k$ can be uniquely solved locally in time when the domain under consideration is a spherical corona or an annulus. | |
| dc.description | 36 pages | |
| dc.identifier | https://arxiv.org/abs/math/0607311 | |
| dc.identifier | http://arxiv.org/abs/math/0607311 | |
| dc.identifier | J. Inverse Ill-Posed Probl. 9 (2001), no. 5, 489--529 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/114254 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35R30 (35K10 35R10 45K05) | |
| dc.title | Parabolic integrodifferential identification problems related to radial memory kernels I | |
| dc.type | text |