Harmonic Analysis and PDE 2019 Conference Program: Sunday, May 26

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Peter Kuchment, Texas A&M University, USA

Mathematics arising from some recent imaging challenges

Prof. Peter Kuchment, Texas A&M University, USA

Photo: Tal Avigad

Giuseppe Mingione, University of Parma, Italy

Nonlinear potential theory in PDE: from Maz'ya's seminal ideas to recent developments

Abstract:

Professor Vladimir Maz’ya is one of the founding fathers of what is nowadays known as Nonlinear Potential Theory. For instance, he has been the first to study the widely employed class of nonlinear potentials nowadays called Havin-Maz’ya-Wolff potentials and to apply nonlinear potential theoretic arguments to the study of boundary regularity properties of solutions to nonlinear equations. In my talk I will try to draw a line that from Mazy’a’s seminal contributions leads to the most recent developments of the theory

iuseppe Mingione, University of Parma, Italy