Timeline for Laplace eigenfunction on a polygonal domain symmetric about an axis
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 12, 2020 at 19:14 | vote | accept | user170399 | ||
| Dec 12, 2020 at 19:04 | answer | added | Christian Remling | timeline score: 3 | |
| Dec 12, 2020 at 8:47 | comment | added | Bertram Arnold | The reflection gives an isometric $C_2$-action on $\Omega^*$, so that the Dirichlet spectrum of its Laplacian decomposes into even and odd eigenfunctions. It's easy to see that restricting to $\Omega$ identifies odd eigenfunctions with Dirichlet eigenfunctions on $\Omega$, while even eigenfunctions correspond to von Neumann boundary conditions on the special side and Dirichlet boundary elsewhere. So you would have to bound the spectrum of the latter operator via that of the former. | |
| Dec 12, 2020 at 6:26 | review | First posts | |||
| Dec 12, 2020 at 9:00 | |||||
| Dec 12, 2020 at 6:24 | history | asked | user170399 | CC BY-SA 4.0 |