Timeline for Extension of harmonic function
Current License: CC BY-SA 3.0
4 events
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Jul 6, 2012 at 23:49 | comment | added | Slm2004 | Yes. If the boundary behavior of u at this smooth portion is not nice enough, of course we can not extend it. What if I add assumption that $\frac{\partial u}{\partial v}$ exists on this portion? | |
Jul 6, 2012 at 23:44 | vote | accept | Slm2004 | ||
Jul 6, 2012 at 17:06 | comment | added | Pietro Majer | I understood the question as: is there a harmonic extension of $u$ on a strictly larger domain $\Omega'$. Or maybe you want a continuous extension to $\Omega'$ which is harmonic on $\Omega'\setminus\partial \Omega$? | |
Jul 6, 2012 at 16:59 | history | answered | Pietro Majer | CC BY-SA 3.0 |