Presented by: 
Professor Giuseppe Mingione (Università degli studi di Parma)
Mon 2 Apr, 2:00 pm - 3:00 pm
N201 in Hawken (50)
Nonlinear potential theory is somehow a way to indicate all those results about the fine properties of solutions to PDE of elliptic and parabolic type, that, classically established in the linear case, turn out to have a natural analog in the nonlinear setting. In the first part of the talk, Professor Mingione will review some classical results, eventually turning to more recent developments. In particular, he will discuss more recent developments of the nonlinear theory, including for instance:
-- Nonlinear Calderon-Zygmumd estimates for parabolic and measure data problems
-- Pointwise gradient estimates for solutions via linear and nonlinear potentials
-- Estimates in intermediate spaces, such as for instance fractional Sobolev spaces