Timeline for Operator Semigroup: Resolvent estimates and stabilization, a detail in the paper of Nicoulas Burq and Patrick Gerard
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 12, 2023 at 15:09 | history | became hot network question | |||
| Dec 12, 2023 at 11:19 | comment | added | monotone operator | @JochenGlueck thank you for your explanation! I also want to know where can I find the standard material of the asymptotic behavior of semigroup and eventually, you tell me this fact, thank you!!! | |
| Dec 12, 2023 at 11:17 | comment | added | monotone operator | @JochenGlueck, thank you professor. I guess that it is for readers' convenient. And just now, I read the semigroup book of Engel and Nagel, and find that the proof in the paper is more easier(It means that it doesn't need too much preliminaries) than the book. | |
| Dec 12, 2023 at 11:05 | comment | added | Jochen Glueck | Just for the record: As the authors of the paper point out in the first sentence of Appendix A.1, this is actually a very classical and well-known theorem in the theory of $C_0$-semigroups. It's commonly referred to as the Gearhart-Prüß theorem and it's proof is explained in detail in standard books on the topic (so I'm not quite sure why the authors recall the proof in the appendix of the paper). See for instance Theorem V.1.11 on page 302 of the semigroup book by Engel and Nagel. | |
| Dec 12, 2023 at 8:05 | vote | accept | monotone operator | ||
| Dec 12, 2023 at 7:51 | answer | added | Willie Wong | timeline score: 5 | |
| Dec 12, 2023 at 7:06 | history | asked | monotone operator | CC BY-SA 4.0 |