Generalized Entropy Method for the Renewal Equation with Measure Data

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Date
2016-06-17MFO Scientific Program
Research in Pairs 2015Series
Oberwolfach Preprints;2016,07Author
Gwiazda, Piotr
Wiedemann, Emil
Metadata
Show full item recordOWP-2016-07
Abstract
We study the long-time asymptotics for the so-called McKendrick-Von Foerster or renewal equation, a simple model frequently considered in structured population dynamics. In contrast to previous works, we can admit a bounded measure as initial data. To this end, we apply techniques from the calculus of variations that have not been employed previously in this context. We demonstrate how the generalized relative entropy method can be refined in the Radon measure framework.