Dmitry Khavinson (University of South Florida)

will speak on

Approximation Theory and Some Free Boundary Problems

Time: 3:00PM
Date: Wed 3rd May 2023
Location: Seminar Room SCN 1.25 [map]

Further information

Abstract: We shall try to outline the program started 4 decades ago that focuses on approximating particular “badly approximable” functions that leads to unexpectedly exciting problems in mathematical physics. So called free boundary problems. For example studying the approximation of z* by analytic functions leads to the isoperimetric inequality, J. Serrin’s problem in hydrodynamics, equilibrium of electrified droplets, St. Venant’s inequality for torsional rigidity, etc. A Many simply stated open questions, that still remain open in spite of the recent progress in the last decades, will be discussed. The talk should be accessible to graduate students and math majors.

https://ucd-ie.zoom.us/j/62548509883

(This talk is part of the Analysis series.)

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