Timeline for Weak elliptic maximum principle on manifolds without strict ellipticity
Current License: CC BY-SA 4.0
8 events
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Oct 27, 2018 at 3:07 | history | edited | Ryan Unger | CC BY-SA 4.0 |
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Oct 27, 2018 at 3:02 | comment | added | Ryan Unger | I just realized I was using $\lambda$ for two different things. Maybe the question makes more sense now. | |
Oct 27, 2018 at 3:02 | history | edited | Ryan Unger | CC BY-SA 4.0 |
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Oct 27, 2018 at 3:00 | comment | added | Ryan Unger | Maybe I should clarify: Calabi's trick is to move the basepoint a little so the distance function becomes smooth again. But you need the old maximum to stay a maximum, which only works when $\gamma<0$. This is not an issue when local uniform ellipticity is assumed. | |
Oct 27, 2018 at 2:58 | comment | added | Ryan Unger | @DeaneYang Calabi only considers locally uniformly elliptic operators and essentially repeats the usual proof of the strong maximum principle. | |
Oct 27, 2018 at 2:55 | comment | added | Deane Yang | Is the proof in Schoen-Yau the same as the original one in Calabi's paper? | |
Oct 27, 2018 at 1:27 | history | edited | Ryan Unger | CC BY-SA 4.0 |
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Oct 26, 2018 at 23:46 | history | asked | Ryan Unger | CC BY-SA 4.0 |