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Results tagged with fa.functional-analysis
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user 98946
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
2
votes
1
answer
461
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Fundamental Theorem of Gamma-Convergence
Let $(X, d)$ be a metric space and $F_\varepsilon, F\colon X\to [-\infty, \infty]$. Suppose $F_\varepsilon$ is an equicoercive sequence of functions on $X$, i.e. for all $t\in\mathbb{R}$ there exists …
- 155
2
votes
1
answer
145
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Showing existence of minimisers with single integral constraint on a possibly non-Lipschitz ...
Consider a domain $\mathcal{D}$ which is a right circular cylinder in $\mathbb{R}^3$, with radius 1 and height 1, say. The boundary of $\mathcal{D}$, which I denote by $\partial\mathcal{D}$ consists o …
- 155