On Stochastic Coupled System of Reaction-Diffusion of Nonlocal Type.

Citation:

E.A.Coayla-Teran, J.Ferreira PMDde MHBde O. On Stochastic Coupled System of Reaction-Diffusion of Nonlocal Type. Particle Systems and Partial Differential Equations I. 2012.

Abstract:

In this article we investigate the existence and uniqueness of weak solutions for a stochastic nonlinear parabolic coupled system of reaction-diffusion of nonlocal type, and with multiplicative white noise. An important result on the asymptotic behavior of the weak solutions is presented as well.