« first day (4035 days earlier)      last day (57 days later) » 

12:55 PM
Feb 7 at 14:53, by Martin Sleziak
Questions where was added/removed (with editors): https://data.stackexchange.com/mathoverflow/query/1105163/questions-which-had-the-given-tag-including-the-editor-who-added-it?tagname=gamma-convergence https://data.stackexchange.com/mathoverflow/query/1038474/questions-which-no-longer-have-the-given-tag-including-the-editor?tagName=gamma-convergence
The tag now has three questions.
0
Q: Equi-coercivity of functionals on a metric space

Guy FsoneDefinition: A family of functionals $\{F_n: X\to\bar{\mathbb R}\}$ on a metric space $X$ is said to be equi-coercive if, for every $\alpha \in \mathbb{R}$, there is a compact set $K_\alpha$ of $X$ such that for all $n$ we have $$\{F_n \leq \alpha\} \subseteq K_\alpha.$$ Question: If $\{F_n\}$ is ...

9
Q: How do people prove $\Gamma$-convergence in more complicated settings?

user479223This is a soft question, I guess. $\Gamma$-convergence is a notion of convergence of functionals so that if $F_n$ $\Gamma$-converges to $F$, then cluster points of $\arg\inf F_n$ are minimizers of $F$. This is especially helpful if you want to minimize $F$ but find it easier to minimize $F_n$. Ho...

0
Q: How to prove the convergence of the following series involving Gamma function?

Y. LiConsider the following result($d$ denotes the dimensions and $0<t<T$) $$c\left(\sum_{j=0}^\infty\frac{\Gamma^j(1-\kappa)}{\Gamma((j+1)(1-\kappa))}t^{j(1-\kappa)-\kappa}\right)^{\frac{1}{2}}\leq c t^{-\frac{\kappa}{2}}, \text{ where } \frac{\kappa}{2}=\frac{d}{\alpha}-\frac{d}{2q\alpha}, \alpha+d\...

In the field of mathematical analysis for the calculus of variations, Γ-convergence (Gamma-convergence) is a notion of convergence for functionals. It was introduced by Ennio De Giorgi. == Definition == Let X {\displaystyle X} be a topological space and N ( x ) {\displaystyle {\mathcal {N}}(x)} denote the set of all neighbourhoods of the point x ∈ X {\displaystyle x\in X} . Let further...

« first day (4035 days earlier)      last day (57 days later) »