The 71st Midwest Partial Differential Equations Seminar May 11-12, 2013 Room TBA East Hall University of Michigan Ann Arbor, MI   Abstract Detail   Title: Mixed Integro-Differential Equations We introduce a new class of local-nonlocal equations that we term mixed integro-differential equations.These equations are particularly interesting, as they are degenerate both in the local and nonlocal term, but their overall behavior is driven by the local-nonlocal interaction, e.g. fractional diffusion in one direction and classical diffusion in the complementary one. We establish Strong Maximum Principle and Hölder and Lipschitz estimates for viscosity solutions of such equations. As an application, we show the large time behavior for periodic solutions of mixed integro-differential equations. Adina Ciomaga University of Chicago Email:  adina@math.uchicago.edu Phone:   BACK to Speaker Listing BACK to Conference Home   Sponsors National Science Foundation, Department of Mathematics at the University of Michigan