Timeline for Reference about the backward heat flow on closed manifold
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Apr 14, 2021 at 12:54 | comment | added | Leo Moos | What I meant is that reversing the time for a backward heat equation yields a forward equation. You're working on a closed manifold, so the usual estimates for parabolic PDE would yield long-time existence of your solution. | |
| Apr 14, 2021 at 4:43 | comment | added | DLIN | @LeoMoos Thanks for the comments. Actually, I want to emphasis that on any compact interval $[a,b]$, we can find a solution with any initial data. Do you know the reference about this? | |
| Apr 14, 2021 at 3:06 | comment | added | Leo Moos | If you reverse in time and take an initial datum $u(b)$, it just becomes a standard heat equation, no? | |
| Apr 14, 2021 at 2:53 | history | asked | DLIN | CC BY-SA 4.0 |