Timeline for Gronwall-type inequality involving norms of distinct Lebesgue spaces
Current License: CC BY-SA 4.0
10 events
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May 17 at 19:33 | comment | added | Iosif Pinelis | @Theleb : Thank you for your comment. The typo is now fixed. I agree with what you said about your example. | |
May 17 at 19:30 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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May 17 at 14:32 | comment | added | Theleb | OK. There is a typo : $t^\frac 23$ --> $t^2$. Your answer provides a counter-example where $\phi$ is continuous. I posted another answer which (in my opinion) is less involved computationally (since $\phi$ is an indicator function there). | |
May 17 at 12:19 | comment | added | Iosif Pinelis | @Theleb : I don't understand your comment. However, if you are satisfied with this answer, these guidelines may be relevant now. | |
May 17 at 8:01 | comment | added | Theleb | Thanks for your complete answer ! Afterwards, I also thought of a counter-example. Take a $phi(t)$ as the indicator function of a set of size $t^2$ inside $\Omega$, the differential inequality is verified while starting at $0$... | |
May 17 at 1:52 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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May 17 at 1:41 | history | undeleted | Iosif Pinelis | ||
May 17 at 1:41 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
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May 17 at 1:27 | history | deleted | Iosif Pinelis | via Vote | |
May 16 at 21:43 | history | answered | Iosif Pinelis | CC BY-SA 4.0 |