Timeline for Looking for a theorem that says that the embedding $H^{1-\sigma}(M)\subset C^1(M)$ is compact for $\sigma\in (0,1)$
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 20, 2015 at 11:01 | vote | accept | Alan | ||
| Mar 20, 2015 at 8:36 | comment | added | Hachino | "if $k > \frac n2 +1$" is the key you forgot. | |
| Mar 20, 2015 at 8:35 | comment | added | Alan | Well, for the first inclusion I am quoting from Michael Taylor's third volume in PDE. On page 416, section 16.1 he writes that "... the inclusion $H^{k-\sigma} \subset C^1(M)$ is compact for small $\sigma>0$ if $k > n/2+1$..." so I thought that it works also for $k=1$, but you say it ain't so? | |
| Mar 20, 2015 at 8:15 | history | answered | Hachino | CC BY-SA 3.0 |