Timeline for unique continuation principle
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| Mar 20, 2012 at 11:06 | comment | added | Misha | From what I remember (reading Bers' paper ages ago, in mid-1990s) that in dimension 2 zero level sets are always locally diffeomorphic to zero sets of $Re(q(z)dz^k)$, where $q(z)dz^k$ is a degree $k$ holomorphic quadratic differential. | |
| Mar 17, 2012 at 13:38 | comment | added | Tom Goodwillie | I bet there are more general results about the set of points where a solution vanishes. How messy can a closed set in the plane be if it is the zero set of a solution? Empty interior if not whole plane, but if it's one-dimensional what can it look like locally, up to diffeomorphism? | |
| Mar 17, 2012 at 3:28 | history | answered | Misha | CC BY-SA 3.0 |