Timeline for Harnack Inequality for uniformly elliptic PDE via constructing a singularity
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| S Jan 24, 2019 at 18:00 | history | suggested | David Bowman | CC BY-SA 4.0 |
Clarifiying the proof outline
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| Jan 24, 2019 at 17:32 | comment | added | David Bowman | @T_M I have made an edit including the full proof outline (but it still needs to be peer reviewed). I do know that $u$ is Holder continuous, yes. The inequality in the last displayed equation essentially comes from rearranging terms and applying the bounds from the earlier steps, and the definition of oscillation. | |
| Jan 24, 2019 at 17:30 | review | Suggested edits | |||
| S Jan 24, 2019 at 18:00 | |||||
| Jan 24, 2019 at 17:21 | comment | added | SBK | Someone might know straight away what to do with this, but I think you could improve the way you've asked the question a bit to make it easier for someone to help. My first thoughts are a) What exactly do you already know about $u$ at this stage? You mention De Giorgi Nash Moser, so do you know that u is Holder continuous? And b) I got confused with use of "the preceding step, which I am led to believe is what implies the claim", "from the prior step" etc. Where does the inequality (the last displayed equation) come from? Maybe put the statements in the order in which they come in the proof? | |
| Jan 24, 2019 at 14:55 | review | First posts | |||
| Jan 24, 2019 at 15:42 | |||||
| Jan 24, 2019 at 14:52 | history | asked | David | CC BY-SA 4.0 |