Timeline for If $u_n \to u$ in $H^{\frac 12}(\partial\Omega)$, does $f(u_n) \to f(u)$ in $H^{\frac 12}(\partial\Omega)$ for $f$ Lipschitz?
Current License: CC BY-SA 3.0
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Jan 23, 2015 at 21:36 | vote | accept | ewl | ||
Jan 23, 2015 at 21:36 | comment | added | ewl | Thank you. I just found a direct argument to show continuity: Lemma 2.5 of arxiv.org/pdf/1310.6017.pdf. But yours is a nice technique. | |
Jan 23, 2015 at 21:16 | history | answered | Joonas Ilmavirta | CC BY-SA 3.0 |