Publication Date:
2016-03-19
Description:
In this work, we study the Dirichlet problem for a class of non-linear coupled systems of reaction–diffusion non-local type: \[ \begin{cases} u_t-a_1(l_1(u),l_2(v))\Delta u+\lambda_1|u|^{p-2}u=f_1 Lovat (1997, Some remarks on non-local elliptic and parabolic problems. Proceedings of the Second World Congress of Nonlinear Analysts, Part 7 (Athens, 1996) , vol. 30. pp. 4619–4627), Corrêa et al. (2004, On a class of problems involving a nonlocal operator. Appl. Math. Comput. , 147 , 475–489), Raposo et al. (2008, Solution and asymptotic behaviour for a non-local coupled system of reaction–diffusion. Acta Appl. Math. , 102 , 37–56) and in Simsen & Ferreira (2014, A global attractor for a nonlocal parabolic problem. Nonlinear Stud. , 21 , 405–416) for coupled systems.
Print ISSN:
0272-4960
Electronic ISSN:
1464-3634
Topics:
Mathematics
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