Decay solution for the renewal equation with diffusion

DOI10.1007/s00030-009-0053-6zbMath1194.35050OpenAlexW2002298678MaRDI QIDQ976943

Boumediene Abdellaoui, Tarik Mohammed Touaoula

Publication date: 16 June 2010

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-009-0053-6

zbMATH Keywords

nonlocal boundary conditiongrowth processesnonnegative initial datageneral relative entropycell division equationsweighted Poincaré-Wirtinger's type inequality

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Population dynamics (general) (92D25) Cell biology (92C37) Initial value problems for linear first-order PDEs (35F10)

Related Items

On discrete Wirtinger-Northcott problems ⋮ A convergent numerical scheme to a McKendrick–von Foerster equation with diffusion ⋮ Approximation by diffusion of renewal equations ⋮ Asymptotic behavior for a class of the renewal nonlinear equation with diffusion ⋮ Asymptotic behavior of the solution of a diffusion equation with nonlocal boundary conditions ⋮ On a nonlinear renewal equation with diffusion

Cites Work

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• The age-dependent eigenfunctions of certain Kolmogorov equations of engineering, economics, and biology
• Exponential decay for the fragmentation or cell-division equation
• General entropy equations for structured population models and scattering
• A mathematical model for analysis of the cell cycle in cell lines derived from human tumors
• Bifurcation diagrams of population models with nonlinear diffusion
• General relative entropy inequality: an illustration on growth models
• Extensions of a property of the heat equation to linear thermoelasticity and other theories
• STABILITY IN A NONLINEAR POPULATION MATURATION MODEL