Timeline for Observability inequality for the 1D transport equation
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 17, 2020 at 4:38 | vote | accept | Gustave | ||
| Jul 17, 2020 at 4:38 | comment | added | Gustave | Thank you sir for the great answer. I'm very thankful for you. | |
| Jul 16, 2020 at 17:11 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
added 335 characters in body
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| Jul 16, 2020 at 17:04 | comment | added | Iosif Pinelis | @Gustave : As my answer shows, the inequality cannot hold for any $T,a,b$ satisfying your conditions $0\le a\le b\le1$ and $T\in(0,\infty)$. The most probable reason why you cannot find this "classical result" in any book is that you remember the result incorrectly. However, as now shown in the addition to my answer, your inequality will hold if $a\in[0,1]$,$b>1$, and $T>a$. | |
| Jul 16, 2020 at 12:34 | comment | added | Gustave | Thank you Mr. Pinelis for this clarification. Does the inequality any chance to hold for some $T, a, b$ ?. Because in control theory, this is a classical result but I can not find it in any book. Thank you again sir. | |
| Jul 12, 2020 at 17:58 | history | answered | Iosif Pinelis | CC BY-SA 4.0 |