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Relative Entropy Method for Measure Solutions of the Growth-Fragmentation Equation
Abstract : The aim of this study is to generalise recent results of the two last authors on en-tropy methods for measure solutions of the renewal equation to other classes of structured population problems. Specifically, we develop a generalised 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 non-negative measure.
Cited literature [36 references]
https://hal.inria.fr/hal-01762974
Contributor : Marie Doumic <>
Submitted on : Tuesday, April 10, 2018 - 3:31:53 PM
Last modification on : Thursday, December 10, 2020 - 12:32:34 PM
Contributor : Marie Doumic <>
Submitted on : Tuesday, April 10, 2018 - 3:31:53 PM
Last modification on : Thursday, December 10, 2020 - 12:32:34 PM
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GRE_2102_MD3.pdf
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