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STABILITY OF DISPLACEMENT TO THE SECOND FUNDAMENTAL PROBLEM IN PLANE ELASTICITY
Authors:Juan LIN Jinyuan  DU
Institution:[1]School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China [2]Department of Foundation, Fujian Commercial College, Fuzhou 350012, China
Abstract:In this article, by using the stability of Cauchy type integral when the smooth perturbation for integral curve and the Sobolev type perturbation for kernel density happen, we discuss the stability of the second fundamental problem in plane elasticity when the smooth perturbation for the boundary of the elastic domain(unit disk) and the Sobolev type perturbation for the displacement happen. And the error estimate of the displacement between the second fundamental problem and its perturbed problem is obtained.
Keywords:elastic domain  Cauchy type integral  displacement  perturbation
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