  In this work we study a dissipative one dimensional scalar parabolic problem
with non-local nonlinear diffusion with delay. We consider the general
situation in which the functions involved are only continuous and solutions may
not be unique. We establish conditions for global existence and prove the
existence of global attractors. All results are presented only in the
autonomous since the non-autonomous case follows in the same way, including the
existence of pullback attractors. A particularly interesting feature is that
there is a semilinear problem (nonlocal in space and in time) from which one
can obtain all solutions of the associated quasilinear problem and that for
this semilinear problem the delay depends on the initial function making its
study more involved.
