Timeline for Progress on isospectral plane domains
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Oct 7, 2016 at 12:34 | history | edited | Otis Chodosh | CC BY-SA 3.0 |
typo
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| Oct 7, 2016 at 12:34 | comment | added | Otis Chodosh | @BigM, as far as i know, there are no results along the lines of Zelditch for mixed boundary conditions. This paper: arxiv.org/pdf/math/0510505v2.pdf gives some constructions of isospectral domains with piecewise smooth boundary. | |
| Oct 4, 2016 at 16:30 | comment | added | BigM | at Otis Chodosh, I went back and glanced at Steve Zelditch's paper. The classes he considers are pretty "large" and include a lot of nice domains. Do you know of studies considering other appropriate boundary conditions e.g. Robin or mixed? My understanding, as an outsider to the business of isospectral geometry, is that boundary conditions often come in as variational expression for eigenvalues and can drastically change the scenario. | |
| Nov 26, 2015 at 8:22 | history | edited | Otis Chodosh | CC BY-SA 3.0 |
added 28 characters in body
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| Nov 25, 2015 at 19:23 | history | answered | Otis Chodosh | CC BY-SA 3.0 |