Timeline for $L^p$ domination of mixed partial derivatives of the 3rd order by the unmixed ones?
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Mar 8 at 13:58 | comment | added | Piero D'Ancona | Nice! Indeed, this is very similar to the usual way to prove Gagliardo-Nirenberg interpolation inequalities. If you write the first inequality in the form $\|D_1D_2u\|\le C\|D_1^2u\|^{1/2}\|D_2^2u\|^{1/2}$ you can work out a similar convexity argument without using logarithms | |
| Mar 8 at 13:41 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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| Mar 8 at 13:39 | vote | accept | Iosif Pinelis | ||
| Mar 8 at 12:01 | history | edited | fedja | CC BY-SA 4.0 |
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| Mar 8 at 0:51 | comment | added | fedja | @mathworker21 Maybe it is just all I'm capable of nowadays :lol: | |
| Mar 8 at 0:50 | comment | added | fedja | @IosifPinelis I'm absolutely sure it has because I learned it somewhere at some point in my life, but if you ask me where exactly I got it from, my memory is blank. | |
| Mar 7 at 20:44 | comment | added | mathworker21 | why do all of your answers have some clever trick? | |
| Mar 7 at 14:15 | comment | added | Iosif Pinelis | Nice trick! Do you know if it has been used elsewhere? | |
| Mar 7 at 3:36 | history | edited | fedja | CC BY-SA 4.0 |
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| Mar 7 at 3:26 | history | answered | fedja | CC BY-SA 4.0 |