Gradient estimates for solutions of the Lamé system with partially infinite coefficients in dimensions greater than two

2016/01/28 by Jiguang Bao, Haigang Li, Bao, JiGuang +3 · 1 citation
Computer Science · Mathematics · #35J47 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1601.07879

openalex publication_date 2016/01/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We establish upper bounds on the blow-up rate of the gradients of solutions of the Lamé system with partially infinite coefficients in dimensions greater than two as the distance between the surfaces of discontinuity of the coefficients of the system tends to zero.

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