Geodesic
Measure Solutions To The Conservative Renewal Equation
Pierre Gabriel1
1Laboratoire de Mathématiques de Versailles, UVSQ, CNRS, Université Paris-Saclay, 45 Avenue des États-Unis, 78035 Versailles cedex, France;
ESAIM. Proceedings, Tome 62 (2018), pp. 68-78

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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.
DOI : 10.1051/proc/201862186206

Pierre Gabriel  1

1 Laboratoire de Mathématiques de Versailles, UVSQ, CNRS, Université Paris-Saclay, 45 Avenue des États-Unis, 78035 Versailles cedex, France; 
Pierre Gabriel. Measure Solutions To The Conservative Renewal Equation. ESAIM. Proceedings, Tome 62 (2018), pp. 68-78. doi: 10.1051/proc/201862186206
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     doi = {10.1051/proc/201862186206},
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     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201862186206/}
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