Gradient Estimates for Solutions of the Lamé System with Partially Infinite Coefficients

By J. Bao, Haigang Li, Yanyan Li. 2013

91 citations recorded by the source corpus.

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

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/b6a28875bba979f6393410d937a91623ea917853

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In Applied Mathematics

1. Haigang Li
2. J. Bao
3. Hongjie Dong
4. Yanyan Li
5. Jingang Xiong
6. Tianling Jin
7. Lei Zhang
8. Doyoon Kim

In Geometry and Topology

1. Haigang Li
2. J. Bao
3. Hongjie Dong
4. Yanyan Li
5. Ludovic Rifford
6. F. Schulze

Citations in the corpus

• Gradient estimates for solutions of the Lam\'e system with partially infinite coefficients in dimensions greater than two (2016, background): “18) in [13] for higher dime nsions still holds.”
• Optimal Estimates for the Conductivity Problem by Green’s Function Method (2016, background): “See, for instance, [10, 13, 15, 19, 20, 21] and the references therein.”