Debiec T, Doumic M, Gwiazda P, Wiedemann E (2018)
Publication Type: Journal article
Publication year: 2018
Book Volume: 50
Pages Range: 5811-5824
Journal Issue: 6
DOI: 10.1137/18M117981X
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.
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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