| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, IME, Dept Matemat Aplicada, Rua Matao 1010, Sao Paulo, SP - Brazil
[2] Univ Nacl Educ Distancia, Dept Matemat Fundamentales, Calle Juan del Rosal 10, Madrid 28040 - Spain
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Journal of Mathematical Analysis and Applications; v. 495, n. 2 MAR 15 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
In this work we analyze the behavior of the solutions to nonlocal evolution equations of the form u(t) (x, t) = integral J(x - y)u(y, t) dy - h(epsilon)(x)u(x,t) f (x, u(x, t)) with x in a perturbed domain Omega(epsilon) subset of Omega which is thought as a fixed set Omega from where we remove a subset A(epsilon) called the holes. We choose appropriated families of functions h(epsilon) is an element of L-infinity in order to deal with both Neumann and Dirichlet conditions in the holes setting a Dirichlet condition outside Omega. Moreover, we take J as a non-singular kernel and f as a nonlocal nonlinearity. Under the assumption that the characteristic functions of Omega(epsilon) have a weak limit, we study the limit of the solutions providing a nonlocal homogenized equation. (C) 2020 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 17/02630-2 - Asymptotic analysis in differential and integral equations |
| Grantee: | Marcone Corrêa Pereira |
| Support Opportunities: | Regular Research Grants |