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Results tagged with fa.functional-analysis
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user 40644
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
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Can you pair $H^s(\Omega)$ and $H^{-s}(\Omega)$ on a domain $\Omega$?
You could, by extension, if your domain has a boundary that is at least Lipschitz, but the analysis could become quite tricky. Take a look at Gerd Grubb's book: Functional Calculus of Pseudodifferenti …
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$\lVert u\rVert_{W^{2,p}}$ is bounded above by $\lVert \Delta_p u\rVert_{L^2}$ for $u \in W^...
You could take a look at Chapter 3 of P. Lindqvist's notes:
http://www.math.ntnu.no/~lqvist/p-laplace.pdf
Since you work in a bounded domain there is also the matter of boundary regularity. Even for …