Timeline for A question of uniqueness
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Aug 4, 2020 at 15:19 | comment | added | Paul | @A.Eremenko I said I can only conclude if $\displaystyle ||u(.,R)||_{L^2]0,\pi[}\to^{R\to\infty} 0$. in the sense: if I assume this hypothesis of more | |
| Aug 4, 2020 at 14:58 | comment | added | Alexandre Eremenko | @cerise: your conclusion that $\| u(,.R)\|_2\to 0,\; R\to\infty$ is incorrect: it does not hold in my example. From your assumptions AS STATED it does NOT follow that $u=0$. Look in the literature about "passing to the limit under the integral sign". | |
| Aug 4, 2020 at 14:56 | history | edited | Alexandre Eremenko | CC BY-SA 4.0 |
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| Aug 4, 2020 at 14:20 | vote | accept | Paul | ||
| Aug 4, 2020 at 11:00 | comment | added | Paul | conflicting opinions of experts, does not help me. | |
| Aug 4, 2020 at 5:32 | comment | added | Paul | @ A.Eremenko I edited to continue my reasoning and didn't add anything as additional assumptions. I noticed that the answer is positive to the question if $\displaystyle ||u(.,R)||_{L^2]0,\pi[}\to^{R\to\infty} 0$ | |
| Aug 4, 2020 at 5:26 | comment | added | Alexandre Eremenko | @cerise: I do not see how you edited your post, but if you add one of the conditions that I suggested, the counterexample will loose its meaning. | |
| Aug 4, 2020 at 4:55 | comment | added | Paul | @ A.Eremenko I think you are right, assumptions are missing, I edited my post. I have not yet understood the construction of a counter example | |
| Aug 4, 2020 at 4:33 | history | edited | Alexandre Eremenko | CC BY-SA 4.0 |
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| Aug 4, 2020 at 3:13 | history | answered | Alexandre Eremenko | CC BY-SA 4.0 |