on the asymptotic behavior for a nonlocal difusion equation with an absorption term on a lattice
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ID: 180781
2008
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Abstract
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 = 1. We describe the asymptotic behavior of the solution of the above problem.
| Reference Key |
boni2008boletimon
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| Authors | ;Théodore K. Boni;Diabate Nabong |
| Journal | urban geography |
| Year | 2008 |
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