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

被引：0
|
作者：
Nabongo, Diabate [1 ]
Boni, Thedore [2 ]
机构：
[1] Univ Abobo Abidjan, UFR SFA, Dept Math & Informat, 16 BP 372, Abidjan 16, Cote Ivoire
[2] Inst Natl Polytech Houphouet Boigny Yamoussoukro, Yamoussaukro, Cote Ivoire
来源：
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2008年 / 26卷 / 1-2期
关键词：
Nonlocal diffusion; asymptotic behavior;
D O I：
10.5269/bspm.v26i1-2.7399
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider the following initial value problem {U-i'(t) = Sigma(j is an element of B) J(i-j) (U-j(t) - U-i(t)) - U-i(p)(t), t > 0, i is an element of B, U-i(0) = phi(i) > 0, i is an element of B, where B is a bounded subset of Z(d), p > 1, J(h) = (J(i))(i is an element of B) is a kernel which is nonnegative, symmetric, bounded and Sigma(j is an element of Zd) J(j) = 1. We describe the asymptotic behavior of the solution of the above problem.
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收藏
页码：19 / 28
页数：10
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