Liang Song——Recent Progress on Neumann Problems in Homogenization of Systems of Elasticity

发布时间:2017-08-06浏览次数:918


题目Recent Progress on Neumann Problems in Homogenization of Systems of Elasticity


报告人Liang Song


时间8月6日,9:55-10:40


地点格物楼503学术报告厅


摘要This talk concerns with a family of elliptic systems of linear elasticity with rapidly oscillating periodic coefficients, arising in the theory of homogenization. We establish uniform optimal regularity estimates for solutions of Neumann problems in a bounded Lipschitz domain with $L^2$ boundary data. The proof relies on a boundary Korn inequality for solutions of systems of linear elasticity, a large-scale Rellich estimate obtained by Shen and some techniques of harmonic analysis. This is a joint work with Jun Geng and Zhongwei Shen.


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