Publications

Preprints

H. Ammari, E. Beretta, E. Francini, H. Kang, and M. Lim, Optimization algorithm for reconstructing interface changes of a conductivity inclusion from modal measurements

K. Yun and M. Lim, Blow-up of Electric Fields between Closely Spaced Spherical Perfect Conductors

In preparation

H. Ammari, H. Kang, E. Kim, M. Lim, and K. Louati, Ultrasonic detection of internal corrosion

Reprints

[14] H. Ammari, H. Kang, M. Lim, and H. Zribi, Conductivity Interface Problems. Part I: Small Perturbations of an Interface, to appear in Transactions of the American Mathematical Society.

[13] H. Ammari, H. Kang, M. Lim, and H. Zribi, Layer Potential Techniques in Spectral Analysis. Part I: Complete Asymptotic Expansions for Eigenvalues of the Laplacian in Domains with Small Inclusions, to appear in Transactions of the American Mathematical Society.

[12] M. Lim, K. Louati, and H. Zribi, Reconstructing Small Perturbations of Scatterers from Electric or Acoustic Far-Field Measurements, Mathematical Methods in applied Sciences.

[11] H. Ammari, H. Kang, H. Lee, J. Lee, and M. Lim, Optimal Estimates for the Electrical Field in Two Dimensions, J. Math. Pures Appl. 88 (2007) 307–324

[10] H. Ammari, G. Dassios, H. Kang, and M. Lim, Estimates for the electric field in the presence of adjacent perfectly conducting spheres, Quart. Appl. Math. 65 (2007), 339-355.

[9] M. Lim, D. Kim, J. Bouree, and S.Y. Kim, Calculation of the local electric field for an infinite array of conducting nanosized objects, J. Phys. A: Math. Theor. 40 (2007) 853–862.

[8] H. Ammari, Yves Capdeboscq, H. Kang, E. Kim, and M. Lim, Attainability by simply connected domains of optimal bounds for the polarization tensor, European Jour. of Applied Math. 17 (2) (April, 2006), 201-219.

[7] H. Ammari, H. Kang, and M. Lim, Effective parameters of elastic composites, Indiana University Mathematics Journal, 55 No. 3 (2006), 903-922.

[6] H. Ammari, H. Kang, and M. Lim, Polarization tensors and their applications, Journal of Physics: Conference Series, 12 (2005), 13-22.

[5] H. Kang, M. Lim, and G. Nakamura, Reconstruction of Polygonal Cavities by Two Boundary Measurements, Journal of Physics: Conference Series, 12 (2005), 75-82.

[4] H. Ammari, H. Kang, and M. Lim, Gradient estimates for solutions to the conductivity problem, Math. Ann., 332(2) (2005), 277-286.

[3] H. Ammari, H. Kang, E. Kim, and M. Lim, Reconstruction of closely spaced small inclusions, SIAM Journal on Numerical Analysis, Vol 42, No. 6 (2005), 2408–2428.

[2] H. Kang, M. Lim, and G. Nakamura, Detection of surface breaking cracks in two dimensions, Inverse Problems, 19 (2003), 909–918.

[1] M. Lim, Symmetry of a boundary integral operator and a characterization of a ball, Illinois J. Math. 45 (2001), 537–543.

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