抄録
The exponential attractor is known as one of useful notions of invariant
attractors in the theory of infinite-dimensional dynamical systems. It is also known
that, if the semigroup of a dynamical system satisfies a compact perturbation condition
of contraction, then the dynamical system has exponential attractors. In this paper,
we clarify the meaning of the compact perturbation condition of contraction and show
that the exponential attractor is a natural generalization of the exponentially stable
equilibrium
