Timeline for Non convex optimization problem in $W_0^{1,2}$
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 25, 2022 at 22:48 | answer | added | Iosif Pinelis | timeline score: 1 | |
| Jan 25, 2022 at 18:53 | vote | accept | HHN | ||
| Jan 25, 2022 at 12:23 | answer | added | mlk | timeline score: 1 | |
| Jan 24, 2022 at 22:17 | answer | added | leo monsaingeon | timeline score: 1 | |
| Jan 23, 2022 at 17:34 | comment | added | leo monsaingeon | I guess as $\alpha\to 0$ you expect two pieces of eigenvalues, one on $H^1_0(0,\pi/3)$ and the other on $H^1_0(2\pi/3,\pi)$, both normalized with $L^2$ mass equal $1/2$ (by symmetry this is the only reasonable scenario, I guess). If so, you should get a good guess: the lowe bound is simply the first Dirichlet-Laplacian eigenvalue (or equivalently Dirichlet energy) on a smaller domain, suitably normalized. | |
| Jan 23, 2022 at 13:06 | comment | added | Romain Gicquaud | Have you tried to use Kuhn and Tucker's method? This is probably more helpful than using Fourier series... | |
| Jan 23, 2022 at 11:40 | history | asked | HHN | CC BY-SA 4.0 |