What are … abstract functions and weak convergence?

This page hosts information on Christian Kreusler's talk "What are … abstract functions and weak convergence?" at the "What is …?" seminar. The talk will take place on Friday, June 21, 1:00pm at the BMS Loft at Urania. This talk will help you better understand the talk by Etienne Emmrich, which will start at 2pm.

Abstract

Most of the modern theory of Partial Differential Equations is formulated via the help of abstract functions, i.e. functions taking values in Banach spaces of infinite dimension. We will discuss the spaces of those functions and problems that arise when working in infinite dimensions such as lack of compactness. The concept of weak convergence is one of the major tools of interest.

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