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

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

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Roman Shvydkoy, University of Illinois at Chicago
Fine Hall 322

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.