| Full text | |
| Author(s): |
Pereira, Marcone C.
Total Authors: 1
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| Document type: | Journal article |
| Source: | MATHEMATICAL METHODS IN THE APPLIED SCIENCES; v. 41, n. 16, p. 6368-6377, NOV 15 2018. |
| Web of Science Citations: | 0 |
| Abstract | |
In this paper, we study a nonlocal evolution equation posed in perforated domains. We consider problems of the form ut(t,x)=RN\textbackslash{}AEJ(x-y)(u(t,y)-u(t,x))dy+f(t,x) with x in a perturbed domain E. We think about (epsilon) as a fixed set from where we have removed the subset A(epsilon) that we call the holes. Moreover, we take J as a nonsingular kernel. Assuming weak convergence of the holes, specifically, under the assumption that the characteristic function of (epsilon) has a weak limit, E?X weakly in L() as epsilon 0, we analyze the limit of the solutions proving a nonlocal homogenized evolution equation. (AU) | |
| FAPESP's process: | 17/02630-2 - Asymptotic analysis in differential and integral equations |
| Grantee: | Marcone Corrêa Pereira |
| Support Opportunities: | Regular Research Grants |