# To Do List

(Difference between revisions)
 Revision as of 16:57, 6 October 2015 (view source)Luis (Talk | contribs)← Older edit Latest revision as of 21:11, 25 January 2016 (view source)Luis (Talk | contribs) Line 32: Line 32: * [[Neumann Boundary Conditions]] * [[Neumann Boundary Conditions]] - - * Jump processes via [[Subordination]] * Processes in the "limit" $\alpha=0$, [[Zero Order Operators]] * Processes in the "limit" $\alpha=0$, [[Zero Order Operators]] Line 77: Line 75: * Having a [[list of equations]] may make it easier to navigate the wiki. * Having a [[list of equations]] may make it easier to navigate the wiki. + * Jump processes via [[Subordination]] == Wiki Maintenance == == Wiki Maintenance ==

## Things that need to be done

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.

• Fractional curvatures in conformal geometry.
• Create a page on Non-local Lagrangians and mention relevant examples, note Non-local Lagrangian is a term used by particle physicists and it is not necessarily the same as a Dirichlet form.
• Nonlocal Phase Field Equations this will include many types of evolution equations such as nonlocal reaction-diffusion, models arising from nonlocal ising models, nonlocal cahn-hilliard, nonlocal biological aggregation, sharp interface limits (giacomin-lebowitz, bates-et-al, de massi-pressutti, etc...)
• Boundary Harnack inequality it would be good to possibly include this in the description of what is different/same regarding local vs. nonlocal equations.
• Describe, with references, the connection between holder estimates of viscosity solutions of stationary and or parabolic equations and the existence and uniqueness of solutions to the relevant Martingale Problem
• Discussion of Jean Picard's paper (regularity for pure jump processes with non-degenerate, translation invariant generators)
• Add Courrège's Structure theorem for operators and other structure theorems (generators of Feller semigroups, Hunt processes... etc)
• A page on the nonlocal analogue of the thin film equation