On the asymptotic behavior for a nonlocal diffusion equation with an absorption term on a lattice



Document title: On the asymptotic behavior for a nonlocal diffusion equation with an absorption term on a lattice
Journal: Boletim da Sociedade Paranaense de Matematica
Database: PERIÓDICA
System number: 000395372
ISSN: 0037-8712
Authors: 1
2
Institutions: 1Universite Nangui Abrogoua, Departement de Mathematiques et Informatiques, Abidjan. Costa de Marfil
2Institut National Polytechnique Felix Houphouet-Boigny, Yamoussoukro. Costa de Marfil
Year:
Volumen: 26
Number: 1-2
Pages: 19–28-19–28
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Analítico
English abstract In this paper, we consider the following initial value problem U 0 i (t) = P j∈B Ji−j (Uj (t) − Ui(t)) − U p i (t), t ≥ 0, i ∈ B, Ui(0) = ϕi > 0, i ∈ B, where B is a bounded subset of Z d, p > 1, Jh = (Ji)i∈B is a kernel which is nonnegative, symmetric, bounded and P j∈Zd Jj = 1. We describe the asymptotic behavior of the solution of the above problem
Disciplines: Matemáticas
Keyword: Matemáticas aplicadas,
Matemáticas puras,
Ecuaciones diferenciales,
Ecuaciones no lineales,
Comportamiento asintótico,
Ecuación de difusión,
Problema de Neumann,
Análisis funcional
Keyword: Mathematics,
Applied mathematics,
Pure mathematics,
Differential equations,
Nonlinear equations,
Asymptotic behavior,
Diffusion equation,
Neumann problem,
Functional analysis
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