Issue |
ESAIM: ProcS
Volume 62, 2018
CIMPA School on Mathematical Models in Biology and Medicine
|
|
---|---|---|
Page(s) | 68 - 78 | |
DOI | https://doi.org/10.1051/proc/201862186206 | |
Published online | 17 October 2018 |
Measure Solutions To The Conservative Renewal Equation★
Laboratoire de Mathématiques de Versailles, UVSQ, CNRS, Université Paris-Saclay, 45 Avenue des États-Unis, 78035 Versailles cedex, France;
*
e-mail: pierre.gabriel@uvsq.fr
We prove the existence and uniqueness of measure solutions to the conservative renewal equation and analyze their long time behavior. The solutions are built by using a duality approach. This construction is well suited to apply the Doeblin’s argument which ensures the exponential relaxation of the solutions to the equilibrium.
© EDP Sciences, SMAI 2018
This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.