Abstract:
In this article, we discuss an alternate approach to a priori error estimates for the
semidiscrete Galerkin approximation to a time dependent parabolic integro-differential
equation with nonsmooth initial data. It is based on energy arguments and on a repeated
use of time integration, but without using parabolic type duality technique. Optimal L2-
error estimate is derived for the semidiscrete approximation, when the initial data is in
L2.