Timeline for A priori estimates to $u_t - \Delta u = u^2$ [closed]
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 19, 2023 at 19:38 | history | closed |
Denis Serre leo monsaingeon Mikhail Katz Max Horn Sam Sanders |
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| Nov 15, 2023 at 21:49 | comment | added | Giorgio Metafune | @Hannes yes, true. I want only to say that one cannot find a bound independent of $c$. | |
| Nov 15, 2023 at 20:46 | comment | added | mathdoge | Hi Giorgio and Hannes, I tried something and posted it as the answer, would you mind taking a look at it? | |
| Nov 15, 2023 at 20:32 | answer | added | mathdoge | timeline score: 3 | |
| Nov 15, 2023 at 17:04 | comment | added | Hannes | Dear Giorgio, of course you are right, but (maybe I am thinking too simply?) is not probably the whole point of the right-hand side precisely to avoid a blow up by cutting off at fixed level $c$? | |
| Nov 15, 2023 at 15:28 | comment | added | Giorgio Metafune | If $u$ depends only on $t$, the boundary conditions are satisfied and you get $u_t=u^2$ (letting $c \to \infty$ which blows up in finite time. | |
| Nov 15, 2023 at 7:32 | review | Close votes | |||
| Nov 19, 2023 at 19:38 | |||||
| S Nov 15, 2023 at 6:47 | review | First questions | |||
| Nov 15, 2023 at 6:50 | |||||
| S Nov 15, 2023 at 6:47 | history | asked | mathdoge | CC BY-SA 4.0 |