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Nonlinear Calderón-Zygmund theory: an overview

  • Date January 19, 2017
  • Hour 3 pm
  • Room GSSI Main Lecture Hall
  • Speaker Giuseppe Mingione (University of Parma)
The seminar of Prof. Mingione has been cancelled due to severe weather conditions and the major seismic events. The new schedule will be communicated soon.

ABSTRACT

The classical linear Calderón-Zygmund theory deals with optimal integrability properties of solutions to linear elliptic and parabolic equations. Crucial tools in this setting are the representation formulas via fundamental solutions and singular integrals. When passing to nonlinear equations such tools are obviously not available. Nevertheless in the last years a set of different methods has been developed in order to build a parallel theory that in fact largely intersects with nonlinear potential theory. I'll try to give an overview of the subject.