<em></em>Explicit H1-Estimate for the Solution of the Lamé System with Mixed Boundary Co

• 作 者: AIT-AKLI Djamel MERAKEB Abdelkader
• 机 构: L2CSP, Mouloud Mammeri University Tizi-Ouzou, 15000, Algeria
• 出 处: 偏微分方程（英文版）
• 发表日期: 2020年1期
• 关键词: Lamé system Korns inequality Poincares inequality inequality of trace explicit e

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.