Timeline for Technical question on perimeter of level sets
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Jul 1, 2013 at 16:19 | vote | accept | Ryan O'Donnell | ||
| Jun 24, 2013 at 18:20 | answer | added | bezirsk | timeline score: 3 | |
| Jun 24, 2013 at 10:59 | comment | added | Benoît Kloeckner | I do not have an answer, but this seems plausible for Lipschitz functions. You could have a look in Federer's book or on functional inequalities where this kind of thing are used (sample keywords: Faber-Krahn, Schwarz symmetrization). | |
| Jun 24, 2013 at 10:34 | comment | added | Ryan O'Donnell | @Benoit Kloekcner: Actually, in my application with a little work I can make $u$ piecewise-affine, in which case everything is completely fine. However, I would prefer if I could just leave it Lipschitz and cite something, rather than throw in an extra approximation argument. | |
| Jun 24, 2013 at 10:32 | history | edited | Ryan O'Donnell | CC BY-SA 3.0 |
added 47 characters in body
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| May 7, 2013 at 23:29 | comment | added | Ryan O'Donnell |
@Thomas Richard: no, intuitively one would expect that the boundary of $\{u \geq t\}$ would be $\{u = t\}$. @Benoit Kloekcner: well... suppose it's merely Lipschitz -- am I out of luck?
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| May 7, 2013 at 16:12 | comment | added | Benoît Kloeckner | What kind of regularity do you have on $u$? | |
| May 7, 2013 at 15:13 | comment | added | Thomas Richard | Isn't $L_t$ equal to $\{u=t\}$ rather than $\{u\geq t\}$ ? | |
| May 7, 2013 at 14:48 | history | asked | Ryan O'Donnell | CC BY-SA 3.0 |