GENERALIZED ENTROPY METHOD FOR THE RENEWAL EQUATION WITH MEASURE DATA

Gwiazda P, Wiedemann E (2017)

Publication Type: Journal article

Publication year: 2017

Journal

Communications in Mathematical Sciences International Press

Book Volume: 15

Pages Range: 577-586

Journal Issue: 2

DOI: 10.4310/CMS.2017.V15.N2.A13

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.

Authors with CRIS profile

Emil Wiedemann

Involved external institutions

Polska Akademia Nauk (PAN) / Polish Academy of Sciences PL Poland (PL) Gottfried Wilhelm Leibniz Universität Hannover DE Germany (DE)

How to cite

APA:

Gwiazda, P., & Wiedemann, E. (2017). GENERALIZED ENTROPY METHOD FOR THE RENEWAL EQUATION WITH MEASURE DATA. Communications in Mathematical Sciences, 15(2), 577-586. https://dx.doi.org/10.4310/CMS.2017.V15.N2.A13

MLA:

Gwiazda, Piotr, and Emil Wiedemann. "GENERALIZED ENTROPY METHOD FOR THE RENEWAL EQUATION WITH MEASURE DATA." Communications in Mathematical Sciences 15.2 (2017): 577-586.

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