a1 Department of Mathematics, University of Alberta, Edmonton Alberta, Canada T6G 2G1
a2 Department of Mathematics, York University, North York Ontario, Canada M3J IP3
An estimate is obtained on the Hausdorff and fractal dimensions of global attractors of semilinear partial differential equations with delay: ẋ(t) = Ax(t) + f(xt). The method employed is to associate such an equation with a nonlinear semigroup on a product space and then appeal to the upper estimate due to Constantin, Foias and Teman on topological dimensions of global attractors for general nonlinear dynamical systems.
(Received June 06 1991)