Timeline for A question about PDE argument involving monotone convergence theorem and Sobolev space
Current License: CC BY-SA 3.0
9 events
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| Jun 15, 2020 at 7:27 | history | edited | CommunityBot |
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| Apr 13, 2017 at 12:19 | history | edited | CommunityBot |
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| Jul 11, 2014 at 23:51 | answer | added | O.G. | timeline score: 1 | |
| Jul 8, 2014 at 20:56 | comment | added | riem | How does something like $\int_0^t f_n(s)$ make sense though? I have never seen any distributional equation with terms like that. | |
| Jul 7, 2014 at 20:56 | history | edited | riem | CC BY-SA 3.0 |
added 10 characters in body
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| Jul 7, 2014 at 20:54 | comment | added | username | What's wrong with writing it in a distributional sense? $b(u)$ is in the right space $L^\infty(0,T,L^1(\Omega)$ it is written before. | |
| Jul 7, 2014 at 20:38 | comment | added | riem | There's no issue with applying the comparison principle. I think you misread my OP. My problem is with the displayed equation after (66). The PDE does not hold pointwise a.e. because it isn't smooth enough (the exact spaces it lies in are written in the paper just above where I cut the image but I reproduced it in my post) so I don't understand what the author did. | |
| Jul 7, 2014 at 19:31 | comment | added | riem | Yes, also taking into account initial data. | |
| Jul 7, 2014 at 17:25 | history | asked | riem | CC BY-SA 3.0 |