Timeline for Definition of homogeneous Sobolev spaces
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Sep 20, 2020 at 18:27 | comment | added | Giorgio Metafune | Yes, that is true. But he explains well the density results and the need for the polynomial correction. | |
| Sep 20, 2020 at 18:20 | comment | added | Slm2004 | @GiorgioMetafune I did not find the definition of fractional derivative. It seems he only deals with s being some integer. | |
| Sep 20, 2020 at 14:55 | comment | added | Giorgio Metafune | I suggest to have a look at Chapter 2 of "An Introduction to the mathematical theory of the Navier-Stokes equation" by P. Galdi. He defines and study homogenuous Sobolev spaces for general $p$ but withouth using the Fourier transform. | |
| Sep 19, 2020 at 13:57 | comment | added | Slm2004 | @MichaelRenardy I add one paragraph. I hope it can address your concern. My question is still there. | |
| Sep 19, 2020 at 13:55 | history | edited | Slm2004 | CC BY-SA 4.0 |
added 926 characters in body
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| S Sep 19, 2020 at 6:41 | history | suggested | Daniele Tampieri | CC BY-SA 4.0 |
Minor Math Jaxing (formula hyperlinking+bracket scaling) + minor formatting
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| Sep 19, 2020 at 5:51 | review | Suggested edits | |||
| S Sep 19, 2020 at 6:41 | |||||
| Sep 19, 2020 at 1:55 | comment | added | Michael Renardy | Your first definition does not seem to quite make sense, at least not without further explanation. If all you know is that f is a tempered distribution, how would you define the integral (even allowing for an infinite value)? You would need to know $\hat f$ is locally integrable or something like that. | |
| Sep 18, 2020 at 18:24 | history | asked | Slm2004 | CC BY-SA 4.0 |