This paper is concerned with the existence and uniqueness of global attractors for a class of degenerate parabolic equations with memory on
$\mathbb{R}^{n}$
. Since the corresponding equation includes the degenerate term
$\operatorname{div}\{a(x)\nabla u\}$
, it requires us to give appropriate assumptions about the weight function
$a(x)$
for studying our problem. Based on this, we first obtain the existence of a bounded absorbing set, then verify the asymptotic compactness of a solution semigroup via the asymptotic contractive semigroup method. Finally, the exi...
