报告题目:Gradient estimates and determination of inclusion in linear elasticity problem
报告人:保继光 教授(北京师范大学)
时间:2014年 12月 1日(周一)上午11: 00--12: 00
地点:综合楼三楼会议室
摘要:I first survey results on gradient estimates for solutions and determination of inclusion to divergence form elliptic equations and systems with discontinuous principal coefficients. Then I will present some recent work with my colleagues on gradient estimates of solutions of Lame systems with partial infinity coefficients, and give optimal blow up rate of the gradient of solutions as the distance between the surfaces of discontinuity of the coefficients. Finally we concern the infinitely rigid inclusions in linear elasticity problem, and establish the necessary and sufficient conditions for “the inclusion is an ellipsoid in an infinite media” under any uniform applied loading, which are related to Eshelby conjecture.
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