Timeline for Approximating a superharmonic function, by smooth superharmonic functions
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 12, 2015 at 1:42 | comment | added | student | It's true. See the proof of approximation theorems for BV functions. You can adapt the proof because $\nabla u$ is a BV vector. | |
| Aug 6, 2014 at 15:24 | comment | added | Tomás | @RayYang, this mollified sequence is not superharmonic in $\Omega$. | |
| Aug 4, 2014 at 12:18 | comment | added | Ray Yang | Why don't you mollify $u_\delta = u \chi_{\Omega_\delta}$ with a mollifier whose support lies wholly inside $B_{\delta/2}$, and then take $\delta \rightarrow 0$? Is this a problem somehow? | |
| Jul 22, 2014 at 15:54 | comment | added | Tomás | The second approach does not seems to work, if $\Omega$ is not convex. | |
| Jul 22, 2014 at 15:41 | comment | added | Connor Mooney | (deleted comment) | |
| Jul 22, 2014 at 13:01 | history | asked | Tomás | CC BY-SA 3.0 |