The Malmheden Theorem and the geometry of harmonic functions I

Abstract: In this course we will present a classical result by Malmheden based on a simple algorithm to determine theharmonic function in a ball, knowing its values on the boundary. We will also discuss the fractional counterpart, from which one obtains a representation formula for s-harmonic functions as a linear superposition of weighted classical harmonic functions and a new simple proof of the fractional Harnack inequality.

analysis of PDEs

Audience: researchers in the topic

Comments: For more information go to mat.ufcg.edu.br/pdefromthesouth/

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Analysis and PDE from the South - Advanced School

Series comments: All talks will be presented through the zoom platform. Please subscribe in the website below in order to obtain the links. Talks will also be live streamed in the youtube channel of the event.

For more information go to mat.ufcg.edu.br/pdefromthesouth/

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