An inverse problem for the heat equation
| dc.creator | Ramm, A. G. | |
| dc.date | 2001-02-22 | |
| dc.date.accessioned | 2026-07-07T04:28:19Z | |
| dc.date.available | 2026-07-07T04:28:19Z | |
| dc.description | Let $u_t = u_{xx} - q(x) u, 0 \leq x \leq 1$, $t>0$, $u(0, t) = 0, u(1, t) = a(t), u(x,0) = 0$, where $a(t)$ is a given function vanishing for $t>T$, $a(t) \not\equiv 0$, $\int^T_0 a(t) dt < \infty$. Suppose one measures the flux $u_x (0,t) := b_0 (t)$ for all $t>0$. Does this information determine $q(x)$ uniquely? Do the measurements of the flux $u_x (1,t) := b(t)$ give more information about $q(x)$ than $b_0 (t)$ does? The above questions are answered in this paper. | |
| dc.identifier | https://arxiv.org/abs/math-ph/0102029 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0102029 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56743 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 35R30 | |
| dc.title | An inverse problem for the heat equation | |
| dc.type | text |