Uniqueness result for an age-dependent reaction-diffusion problem
Analysis of PDEs
2018-06-12 v1 Functional Analysis
Abstract
This paper is concerned with an age-structured model in population dynamics. We investigate the uniqueness of solution for this type of nonlinear reaction-diffusion problem when the source term depends on the density, indicating the presence of, for example, mortality and reaction processes. Our result shows that in a spatial environment, if two population densities obey the same evolution equation and possess the same terminal data of time and age, then their distributions must coincide therein.
Cite
@article{arxiv.1806.03442,
title = {Uniqueness result for an age-dependent reaction-diffusion problem},
author = {Vo Anh Khoa and Tran The Hung and Daniel Lesnic},
journal= {arXiv preprint arXiv:1806.03442},
year = {2018}
}
Comments
16 pages