Optimal boundary gradient estimates for Lamé systems with partially infinite coefficients

2017/05/16 by Jiguang Bao, Bao, Jiguang, Hongjie Ju +3
Computer Science · Mathematics · #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.1705.05518

openalex publication_date 2017/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

In this paper, we derive the pointwise upper bounds and lower bounds on the gradients of solutions to the Lamé systems with partially infinite coefficients as the surface of discontinuity of the coefficients of the system is located very close to the boundary. When the distance tends to zero, the optimal blow-up rates of the gradients are established for inclusions with arbitrary shapes and in all dimensions.

Citations

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

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