Timeline for Periodic solution for linear parabolic equation - existence, regularity
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Oct 30, 2022 at 17:06 | comment | added | username | Every point is an interior point. If you look in Evan's PDE textbook, you'll notice that interior regularity is one thing, and the boundary regularity another. In your case, there is no boundary, so everything stems from interior regularity -- because of periodicity. | |
Oct 30, 2022 at 6:11 | answer | added | Ayman Moussa | timeline score: 0 | |
Oct 30, 2022 at 3:10 | comment | added | Bogdan | Can you detail a little bit please? I do not see what is the link between periodicity and regularity on the boundary... | |
Oct 29, 2022 at 17:20 | comment | added | username | Periodic Sobolev means locally Sobolev on the whole space + periodicity. You can take anything that is true on a bounded domain, forget the boundary regularity, and that's your result on your periodic space. | |
Oct 29, 2022 at 14:59 | history | edited | Bogdan | CC BY-SA 4.0 |
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Oct 29, 2022 at 11:41 | history | edited | Bogdan | CC BY-SA 4.0 |
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Oct 29, 2022 at 9:13 | history | edited | Bogdan | CC BY-SA 4.0 |
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Oct 29, 2022 at 7:02 | history | asked | Bogdan | CC BY-SA 4.0 |