Timeline for Continuity of an extension map
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Dec 11, 2012 at 23:27 | comment | added | Michael Renardy | Well, there is not likely to be anything in the literature specific to this, but all you need is basic elliptic regularity theory. I am not sure what you mean by the question whether it is essential. Essential for what? Your question makes no reference to the limit $m \to\infty$, just to extending each $u_m$. If the $u_m$ converge to zero, then so do the corresponding $v_m$. | |
| Dec 11, 2012 at 21:34 | vote | accept | CommunityBot | ||
| Dec 11, 2012 at 21:34 | comment | added | user17697 | I've got a last question... Is it essential that the traces of the $u_m$ on $\partial B_r(0)$ tend to $0$ strongly in $H^{1/2,2}(\partial B_r(0))$ or is this assumption droppable? Finally where I can find some good references on harmonic extensions on annuli? BTW thank you very much -Guido- | |
| Dec 11, 2012 at 19:39 | history | answered | Michael Renardy | CC BY-SA 3.0 |