Uniqueness result for an age-dependent reaction-diffusion problem

2018/06/09 by Khoa, Vo Anh, Hung, Tran The, Lesnic, Daniel
#35A07 #35K57 #45Q05 #92D25 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1806.03442

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.

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