关键词: quantum Zakharov equation, absorbing set, global attractor

Abstract: This paper is the continuation of article [7]. It gives further results about the asymptotic expression for the solution of higher order elliptic equation in the case of boundary perturbation combined with operator perturbation. When unperturbed problem A0 is not on the spectrum, the asymptotic expression for the solution of perturbation problem A may be expanded with respect to the small parameter While A0 is on the spectrum, the asymptotic expression of the solution contains negative powers of the small parameter e . The approximation of arbitrary order to the solution is considered and the recursive formula for the general term and the estimation of remainder term are given.

Key words: quantum Zakharov equation, absorbing set, global attractor