Timeline for From microlocal to local
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 26, 2012 at 11:47 | comment | added | Bazin | Well, in that case that's OK since your first estimate does control $u$ near the point $(x_0,\xi_0)$ and by the ellipticity of your $P$, you control as well what may happen elsewhere. You can write down the details for that stuff with a partition of unity. Best, Bazin. | |
| Apr 26, 2012 at 8:17 | comment | added | flavio | Ok, thank you, it's what I was afraid of. Actually I also have that $u$ satisfies $Pu=g$ where $\|g\| \le Ch^s$ and $P$ is elliptic in the complement of the set where $u$ is microlocally $O(h^s)$. | |
| Apr 26, 2012 at 8:06 | history | answered | Bazin | CC BY-SA 3.0 |