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Results tagged with fa.functional-analysis
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user 124525
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
2
votes
0
answers
62
views
Localized estimate for divergence free vector field
Suppose $\Omega \subset \mathbb{R}^3$ is a simply connected Lipchitz domain. For a divergence free field $w\in [L^2(\Omega)]^d$, it is well known that there exists a vector field $v\in [W^{1,2}(\Omega …
- 31
1
vote
1
answer
114
views
Friedrich's second inequality for functions with zero average
Friedrich's second inequality (or Maxwell Estimates or Gaffney’s inequality in the literature) is referred as follows: for all $\mathbf{u} \in H^1(\Omega)^2$ satisfying either $\mathbf{n} \cdot \mathb …
- 31
0
votes
Finite element method inverse estimate
You may take a look at Theorem 3.2.6 p140 in the book Philippe G. Ciarlet, The Finite Element Method for Elliptic Problems.
- 31