Decay solution for the renewal equation with diffusion

被引：0
作者：
Boumediene Abdellaoui
Tarik Mohamed Touaoula
机构：
[1] Université Aboubekr Belkaïd,Département de Mathématiques
来源：
Nonlinear Differential Equations and Applications NoDEA | 2010年 / 17卷
关键词：
35B40; 35F10; 92D25; Cell division equations; Growth processes; General relative entropy; Asymptotic analysis;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we consider age structured equation with diffusion under nonlocal boundary condition and nonnegative initial data. We prove existence, uniqueness and the positivity of the solution to the above problem. Our main result is to get an exponential decay of the solution for large times toward such a study state. To this end we prove a weighted Poincaré–Wirtinger’s type inequality in unbounded domain.
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页码：271 / 288
页数：17
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