Timeline for Reference request; fractional Laplacian; boundary regularity
Current License: CC BY-SA 4.0
3 events
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| Jul 29, 2023 at 2:07 | comment | added | Math604 | Thanks for the comment and of course I aware of those papers but I have never looked at details in them (I have read the results). But i will look at the half space stuff since it will give me some much needed insight. The reason i asking is about trying an odd reflection with a fractional term and a $ \Delta$; but i guess there is no hope of that giving much. thanks | |
| Jul 28, 2023 at 22:22 | comment | added | user378654 | Well, it will fail because the resulting function doesn't solve the PDE on the original domain, since you've changed it far away and the equation is nonlocal. I would recommend arxiv.org/abs/1207.5985, which uses some basic barrier arguments to get optimal regularity and discusses the solution on a half-space along the way. | |
| Jul 28, 2023 at 18:30 | history | asked | Math604 | CC BY-SA 4.0 |