On the asymptotic behavior for a nonlocal difusion equation with an absorption term on a lattice
In this paper, we consider the following initial value problem:U_i'(t) =sum_{jin B} J_{i-j}(U_j(t) - U_i(t)), t geq 0, iin BU_i(0)=varphi_i >0, iin Bwhere B is a bounded subset of Z^d, p > 1, J_ h = (J_i)_{iinB} is a kernel which is nonnegative, symmetric, bounded and sum_{j in Z^d} Jj =...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sociedade Brasileira de Matemática
2008-11-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Subjects: | |
| Online Access: | http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7399/4244 |