Timeline for $L^2(0,\infty;L^2(\Omega))$ estimate on solution of heat equation with Neumann boundary condition
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 14, 2023 at 22:44 | comment | added | Jochen Glueck | Weclome to MathOverflow! The solution $u(t)$ converges in $L^2(\Omega)$ to $\frac{1}{|\Omega|} \int_\Omega u_0(x) \,dx \, 1$ as $t \to \infty$. So how could one expect it to be square-integrable in time, unless the spatial integral of $u_0$ vanishes? | |
| Jul 14, 2023 at 22:31 | history | edited | BBB | CC BY-SA 4.0 |
added 94 characters in body
|
| Jul 14, 2023 at 22:29 | history | undeleted | BBB | ||
| Jul 14, 2023 at 20:56 | history | deleted | BBB | via Vote | |
| S Jul 14, 2023 at 20:36 | review | First questions | |||
| Jul 14, 2023 at 20:57 | |||||
| S Jul 14, 2023 at 20:36 | history | asked | BBB | CC BY-SA 4.0 |