To Do List

(Difference between revisions)
 Revision as of 16:27, 22 January 2012 (view source)Nestor (Talk | contribs) (→Current Projects / To do list)← Older edit Revision as of 02:52, 24 January 2012 (view source)Nestor (Talk | contribs) Newer edit → Line 38: Line 38: * Limit of $\sigma$-order operators as $\sigma \to 2^-$, maybe this should go on a page on [[Linear integro-differential operators]]. * Limit of $\sigma$-order operators as $\sigma \to 2^-$, maybe this should go on a page on [[Linear integro-differential operators]]. + + * Given the recent works of Osher/Gilboa and Bertozzi/Flenner on Ginzburg-Landau  on graphs we should have an article on the natural similarities between non-local operators and [[elliptic operators on graphs]]. We may want to include a [[mini second order elliptic wiki]] inside this wiki. We may want to include a [[mini second order elliptic wiki]] inside this wiki.

Current Projects / To do list

We need to come up with some organization for the articles.

The list below can be a starting point to click on links and edit each page. The following are some of the topics that should appear in this wiki.

• A sort of Starting page that serves as a "root" for all pages we add (ideally, any page we create should be reachable from here). (UPDATE: See discussion.)
• Fractional curvatures in conformal geometry.
• It would be wise (once the wiki is more mature) to add pages about the Boltzmann equation, since it is one of the more "classical" and better known integro-differential equations.
• Pages about Homogenization (local and nonlocal) should appear here too.
• Given the recent works of Osher/Gilboa and Bertozzi/Flenner on Ginzburg-Landau on graphs we should have an article on the natural similarities between non-local operators and elliptic operators on graphs.

We may want to include a mini second order elliptic wiki inside this wiki.

We may want to have a section on open problems, for example integral ABP for general kernels, harnack for kernels with a less restrictive bound below, $C^{1,\alpha}$ estimate in bounded domains with a nonsmooth kernel, supercritical quasi-geostrophic, classification of nonlocal minimal cones, etc...

• Fill up the list of upcoming events such as conferences, workshops, summer schools.