Relative entropy method for measure solutions of the growth-fragmentation equation
Debiec T, Doumic M, Gwiazda P, Wiedemann E (2018)
Publication Type: Journal article
Publication year: 2018
Journal
Book Volume: 50
Pages Range: 5811-5824
Journal Issue: 6
DOI: 10.1137/18M117981X
Abstract
The aim of this study is to generalize recent results of the two last authors on entropy methods for measure solutions of the renewal equation to other classes of structured population problems. Specifically, we develop a generalized relative entropy inequality for the growth-fragmentation equation and prove asymptotic convergence to a steady-state solution, even when the initial datum is only a nonnegative measure.
Authors with CRIS profile
Involved external institutions
University of Warsaw / Uniwersytet Warszawski
Poland (PL)
University of Paris 6 - Pierre et Marie Curie / Université Paris VI Pierre et Marie Curie (UPMC)
France (FR)
Polska Akademia Nauk (PAN) / Polish Academy of Sciences
Poland (PL)
Universität Ulm
Germany (DE)
Poland (PL)
University of Paris 6 - Pierre et Marie Curie / Université Paris VI Pierre et Marie Curie (UPMC)
France (FR)
Polska Akademia Nauk (PAN) / Polish Academy of Sciences
Poland (PL)
Universität Ulm
Germany (DE)
How to cite
APA:
Debiec, T., Doumic, M., Gwiazda, P., & Wiedemann, E. (2018). Relative entropy method for measure solutions of the growth-fragmentation equation. SIAM Journal on Mathematical Analysis, 50(6), 5811-5824. https://dx.doi.org/10.1137/18M117981X
MLA:
Debiec, Tomasz, et al. "Relative entropy method for measure solutions of the growth-fragmentation equation." SIAM Journal on Mathematical Analysis 50.6 (2018): 5811-5824.
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