Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 138, pp. 1-12.
Title: Existence and upper semicontinuity of global attractors
for neural fields in an unbounded domain
Author: Severino Horacio da Silva (UAME/CCT/UFCG, Brazil)
Abstract:
In this article, we prove the existence and upper semicontinuity of
compact global attractors for the flow of the equation
$$
\frac{\partial u(x,t)}{\partial t}=-u(x,t)+ J*(f\circ u)(x,t)+ h,
\quad h > 0,
$$
in $L^{2}$ weighted spaces.
Submitted March 16, 2010. Published September 27, 2010.
Math Subject Classifications: 45J05, 45M05, 34D45.
Key Words: Well-posedness; global attractor;
upper semicontinuity of attractors.