Mon, 15 Jan 2024

16:30 - 17:30
L5

Functions of bounded variation and nonlocal functionals

Panu Lathi
(Academy of Mathematics and Systems Science of the Chinese Academy of Sciences)
Abstract

In the past two decades, starting with the pioneering work of Bourgain, Brezis, and Mironescu, there has been widespread interest in characterizing Sobolev and BV (bounded variation) functions by means of non-local functionals. In my recent work I have studied two such functionals: a BMO-type (bounded mean oscillation) functional, and a functional related to the fractional Sobolev seminorms. I will discuss some of my results concerning the limits of these functionals, the concept of Gamma-convergence, and also open problems. 

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Song of the Week: The Pogues - A Rainy Night in Soho

Shane McGowan of the Pogues died last week. Aside from all the articles about self-destructive genius and the relentless playing of 'Fairytale of New York' over the next few weeks, it's worth remembering that the Pogues' first three albums are well worth a listen.

Incidentally he went to the same private school (Westminster) as Conrad Shawcross though he was expelled for possessing and selling drugs. Shane that is, not Conrad.

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