Spectral Analysis of the Neumann–Poincaré Operator and Characterization of the Stress Concentration in Anti-Plane Elasticity

Author:

Ammari Habib,Ciraolo Giulio,Kang Hyeonbae,Lee Hyundae,Yun Kihyun

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Reference22 articles.

1. Ammari, H., Ciraolo, G., Kang, H., Lee, H., Milton, G.: Spectral theory of a Neumann–Poincaré-type operator and analysis of the anomalous localized resonance, submitted. arXiv:1109.0479

2. Ammari H., Kang H.: Polarization and Moment Tensors with Applications to Inverse Problems and Effective Medium Theory. Applied Mathematical Sciences, Vol. 162. Springer-Verlag, New York (2007)

3. Ammari H., Kang H., Lee H., Lee J., Lim M.: Optimal bounds on the gradient of solutions to conductivity problems. J. Math. Pures Appl. 88, 307–324 (2007)

4. Ammari H., Kang H., Lee H., Lim M., Zribi H.: Decomposition theorems and fine estimates for electrical fields in the presence of closely located circular inclusions. J. Differ. Equ. 247, 2897–2912 (2009)

5. Ammari H., Kang H., Lim M.: Gradient estimates for solutions to the conductivity problem. Math. Ann. 332(2), 277–286 (2005)

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