Measure Solutions To The Conservative Renewal Equation★

Measure Solutions To The Conservative Renewal Equation★

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...

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Main Author: Gabriel Pierre
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:ESAIM: Proceedings and Surveys
Online Access:https://doi.org/10.1051/proc/201862186206
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spelling doaj-6d53a0c2f4254c0aa9dfef698055db7c2021-07-15T14:14:48ZengEDP SciencesESAIM: Proceedings and Surveys2267-30592018-01-0162687810.1051/proc/201862186206proc_esaim2018_186206Measure Solutions To The Conservative Renewal Equation★Gabriel PierreWe 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.https://doi.org/10.1051/proc/201862186206
collection DOAJ
language English
format Article
sources DOAJ
author Gabriel Pierre
spellingShingle Gabriel Pierre
Measure Solutions To The Conservative Renewal Equation★
ESAIM: Proceedings and Surveys
author_facet Gabriel Pierre
author_sort Gabriel Pierre
title Measure Solutions To The Conservative Renewal Equation★
title_short Measure Solutions To The Conservative Renewal Equation★
title_full Measure Solutions To The Conservative Renewal Equation★
title_fullStr Measure Solutions To The Conservative Renewal Equation★
title_full_unstemmed Measure Solutions To The Conservative Renewal Equation★
title_sort measure solutions to the conservative renewal equation★
publisher EDP Sciences
series ESAIM: Proceedings and Surveys
issn 2267-3059
publishDate 2018-01-01
description 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.
url https://doi.org/10.1051/proc/201862186206
work_keys_str_mv AT gabrielpierre measuresolutionstotheconservativerenewalequation
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