Dirichlet problem of higher order elliptic equation with perturbation both in differential operator and in boundary |
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Authors: | Lin Zong-chi |
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Institution: | Department of Mathematics, Fujian Normal University, Fuzhou |
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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 problemA
0 is not on the spectrum, the asymptotic expression for the solution of perturbation problemA
may be expanded with respect to the small parameter . WhileA
0 is on the spectrum, the asymptotic expression of the solution contains negative powers of the small parameter . 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. |
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Keywords: | quantum Zakharov equation absorbing set global attractor |
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