Timeline for $u_t=Au+F(u)$ where $A$ is the infinitesimal generator of $C_0$-semigroup
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Mar 30, 2020 at 0:47 | comment | added | S. Maths | Yes, this is obvious, because in locally compact metric spaces "locally Lipschitz" is equivalent to "globally Lipschitz on every compact subset". In your case the space is $[0,T]$ and the function is $F(u)$. | |
| Mar 29, 2020 at 23:30 | comment | added | Math | I wanted to say that the same proof applies in the case where$F$ is globally lipschitz. | |
| Mar 29, 2020 at 23:26 | comment | added | Math | Sorry, it should be "no matter if $F$ is locally Lipschitz or globally Lipschitz." | |
| Mar 29, 2020 at 23:23 | history | edited | Math | CC BY-SA 4.0 |
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| Mar 29, 2020 at 23:00 | comment | added | S. Maths | What do you mean by "no matter if $F$ is locally Lipschitz or locally Lipschitz." | |
| Mar 29, 2020 at 20:17 | vote | accept | Math | ||
| Mar 29, 2020 at 20:17 | |||||
| Mar 29, 2020 at 18:49 | history | answered | Math | CC BY-SA 4.0 |