Timeline for Negativity of a quadratic form on $L^2(M)$
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 6, 2015 at 10:12 | vote | accept | Alex M. | ||
| Sep 5, 2015 at 19:51 | comment | added | Nate Eldredge | Well, you already observed that $\int_M \bar{f} \Delta f \,dx \le 0$, so it's true in an "integrated" sense. That integral is usually what people talk about as the "quadratic form" generated by the Laplacian. This is just another way of saying that the Laplacian is negative definite. | |
| Sep 5, 2015 at 19:47 | comment | added | Alex M. | You say "not in this pointwise sense". Do you have any alternative in mind? | |
| Sep 5, 2015 at 19:10 | history | answered | Nate Eldredge | CC BY-SA 3.0 |