Timeline for Pseudodifferential operators on spaces with boundary
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 27, 2015 at 9:26 | comment | added | user80744 | Yes, $p_0=|\xi|$. | |
| May 26, 2015 at 20:25 | comment | added | student | You mean $m = 1$, and $p_0 = \vert \xi\vert$, right? Then the LHS of (18.2.20) is $1$ and the RHS is $-1$. | |
| May 26, 2015 at 20:24 | vote | accept | student | ||
| May 26, 2015 at 15:51 | comment | added | user80744 | Formula (18.2.20) in Hörmander's book is necessary for the transmission condition to hold. It is not satisfied with the principal symbol $p_0=|\xi|^{1/2}$ of $\sqrt{-\Delta}$, $m=1/2$, and $\alpha=\beta=0$. | |
| May 26, 2015 at 15:02 | comment | added | student | Thanks for your help. I just looked up the transmission condition in Hormander's book. But I still don't understand why the scalar square root of the Laplacian does not satisfy the transmission condition. | |
| May 26, 2015 at 10:07 | history | answered | user80744 | CC BY-SA 3.0 |