Schauder estimates for a class of non-local parabolic equations and applications

Speaker: 
Roman Shvydkoy, University of Illinois at Chicago
Date: 
Apr 30 2015 - 4:30pm
Event type: 
Analysis of Fluids and Related Topics
Room: 
Fine 322
Abstract: 

Regularity theory for non-local elliptic and parabolic equations has undergone rapid development in recent years and reached applications in several models of fluid dynamics. In this talk we will present new Schauder estimates for parabolic equations with general kernels (lacking any traditional symmetry of evenness assumptions) and show their use in studying well-posedness of an Euler-like scalar model.