Wednesday, October 12, 2022 - 15:15 in V3-201 + Zoom
Evolution of Measures on Polish Metric Spaces - Functional Analytic Framework and Application to Structured Population models
A talk in the Bielefeld Stochastic Afternoon series by
Christian Düll
| Abstract: |
In the beginning we will take a closer look at the functional analytic properties of the space of Radon measures as a metric space. To this end, I will introduce the so-called flat metric and discuss its convenient implications. We will also speak about the connection to the classical Wasserstein distances.
In the second part of the talk, we use these insights to formulate nonlinear structured population models in the space of measures: First, classically in $R^d$ and then on an arbitrary separable and complete metric space. More precisely, I will sketch the well-posedness theory and hint at upcoming applications.
This is a joint work with Piotr Gwiazda (Polish Academy of Sciences), Anna Marciniak-Czochra (Heidelberg University) and Jakub Skrzeczkowski (University of Warsaw).
Within the CRC this talk is associated to the project(s): A5, B1, C7 |
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