Timeline for Strong convergence of differential quotient in $L^2(0,T;V^*)$
Current License: CC BY-SA 3.0
6 events
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| Feb 13, 2017 at 20:25 | comment | added | anonymous | @KiraG. Fair enough. The equivalence between $p$-integrability of the gradient and difference quotients of a vector-valued $L^p(0,T,X)$ function can e.g. be found as Theorem 3.20 in M. Kreuter's master thesis (assuming that $X$ has the Radon-Nikodým property). | |
| Feb 13, 2017 at 14:10 | comment | added | Kira G. | @anonymous: What you are referring to is the situation for real-valued functions. The question of FFoDWindow was about Banach-space-valued functions. The book of Evans has here some limited material in Chapter 7, however not for the question asked. | |
| Feb 12, 2017 at 12:36 | comment | added | anonymous | @FFoDWindow Did you take a look at math.stackexchange.com/a/980049/10311 (which in turn refers to Evans, section 5.8.2) | |
| Feb 10, 2017 at 13:22 | comment | added | malwin | Our $w$ is absolutely continuous with values in $V^*$. | |
| Feb 9, 2017 at 23:58 | comment | added | malwin | Hey Kira, thank you for your reply. It should be absoluly continuous in $L^2(0,T;V^*)$, since $V,H,V^*$ form a Gelfand-Triple. I'll verify it tomorrow. | |
| Feb 9, 2017 at 21:28 | history | answered | Kira G. | CC BY-SA 3.0 |