Timeline for A basic question about elliptic pde
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Jun 12, 2020 at 15:48 | vote | accept | Zamanyan | ||
| Jun 12, 2020 at 6:00 | answer | added | Denis Serre | timeline score: 0 | |
| Jun 12, 2020 at 5:39 | history | edited | Zamanyan | CC BY-SA 4.0 |
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| Jun 12, 2020 at 5:38 | comment | added | Zamanyan | Thanks, I do have that n>1. | |
| Jun 12, 2020 at 2:18 | comment | added | Willie Wong | Anyway: to your question, you maybe able to get what you want using unique continuation. | |
| Jun 12, 2020 at 2:01 | comment | added | Willie Wong | you probably want $n > 1$, else the tent function $\psi$ has $\psi''$ supported at exactly three points. // A minor nitpick about your phrasing: since your conclusion is $u \equiv 0$ a fortieri you cannot have $L(u)$ with non-empty support. Maybe better to say that $\mathrm{supp} L(u)$ is contained in a finite set. | |
| Jun 11, 2020 at 22:01 | history | edited | Zamanyan | CC BY-SA 4.0 |
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| Jun 11, 2020 at 21:58 | comment | added | Zamanyan | Right, but question is if $Lu$ can have a support that is a finite set, which is much stronger that having a compact support. | |
| Jun 11, 2020 at 21:42 | comment | added | Deane Yang | Could you clarify? If $u$ has compact support, then isn’t $Lu$ always a compactly supported distribution? | |
| Jun 11, 2020 at 18:12 | history | asked | Zamanyan | CC BY-SA 4.0 |