| Explicit H1-Estimate for the Solution of the Lamé System with Mixed Boundary Conditions |
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| 作者姓名： | AIT-AKLI Djamel MERAKEB Abdelkader |
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| 作者单位： | L2CSP |
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| 基金项目： | The authors would like to thank the referee for his relevant comments and remarks on the material presented in this paper as well as the editor for his support during the submission process |
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| 摘 要： | In this paper we consider the Lamé system on a polygonal convex domain with mixed boundary conditions of Dirichlet-Neumann type.An explicit L2 norm estimate for the gradient of the solution of this problem is established.This leads to an explicit bound of the H1 norm of this solution.Note that the obtained upper-bound is not optimal.
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| 关 键 词： | Lamésystem Korn's inequality Poincare's inequality inequality of trace explicit estimates |
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