(with A. Ammari, J. Garnier, W. Jing, H. Kang, K. Solna, and H. Wang) Lecture Notes in Mathematics, Volume 2098, Springer, 2013.
Geometric series solution for the plane elastostatic problem in the presence of a cavity [arXiv] (with Daehee Cho and Doosung Choi), 2024
Analytic asymptotic formulas for effective parameters of planar elastic composites [arXiv] (with Daehee Cho, and Doosung Choi), 2024
Monostatic imaging of an extended target with MCMC sampling [arXiv] (with Jiho Hong, Sangwoo Kang), 2024
Single-qubit quantum gate at an arbitrary speed [arXiv], Seongjin Ahn, Kichan Park, Daehee Cho, Mikyoung Lim, Taeyoung Choi, Andrey S Moskalenko, 2024
Conformal mapping Coordinates Physics-Informed Neural Networks (CoCo-PINNs): learning neural networks for designing neutral inclusions [arXiv], Daehee Cho, Hyeonmin Yun, Jaeyong Lee and Mikyoung Lim, 2024
Provable wavelet-based neural approximation [arXiv] (with Youngmi Hur and Hyojae Lim), 2025
Bayesian optimization approach for tracking the location and orientation of a moving target using far-field data [arXiv] (with Woojoo Lee and Sangwoo Kang), 2024
The Eigenvalue Problem for the Laplacian via Conformal Mapping and the Gohberg--Sigal Theory [arXiv] (with Marius Beceanu, Jiho Hong, Hyun-Kyoung Kwon), 2024
On the first Steklov–Dirichlet eigenvalue on eccentric annuli in general dimensions [arXiv] (with Jiho Hong, and Dong-Hwi Seo), 2023
2025
[60] Approximation of the first Steklov-Dirichlet eigenvalue on eccentric spherical shells in general dimensions [download] (with Jiho Hong and Woojoo Lee), Journal of Differential Equations, 437, 113295 (2025)
[59] Spectral analysis of the Neumann-Poincaré operator for thin doubly connected domains [arXiv] (with Doosung Choi, and Stephen P. Shipman), 2023, to appear in SIAM Journal on Mathematical Analysis (2025+)
2024
[58] Analytic shape recovery of an elastic inclusion from elastic moment tensors [download] (with Daehee Cho), SIAM J. Appl. Math., 84(6), 2417 - 2439 (2024)
[57] Construction of inclusions with vanishing generalized polarization tensors by imperfect interfaces [download] (with Doosung Choi ), Studies in Applied Mathematics, 152(2), 673-695 (2024)
2023
[56] Spectral analysis of the Neumann–Poincaré operator on the crescent-shaped domain and touching disks and analysis of plasmon resonance [ download ] (with Younghoon Jung), Nonlinear Analysis, 74,103951 (2023)
[55] Inverse problem for a planar conductivity inclusion [download] (with Doosung Choi, Johan Helsing, and Sangwoo Kang), SIAM Journal on Imaging Sciences 16 (2), 969-995 (2023)
[54] Geometric multipole expansion and its application to semi-neutral inclusions of general shape [download] (with Doosung Choi, and Junbeom Kim), Zeitschrift für angewandte Mathematik und Physik (ZAMP), 74, Article number: 39 (2023)
2022
[53] Fast identification of short, linear perfectly conducting cracks in a bistatic measurement configuration [download] (with Sangwoo Kang, and Won-Kwang Park), J. Comput. Phys., 468, 111479 (2022)
[52] Monostatic sampling methods in limited-aperture configuration [download] (with Sangwoo Kang), Appl. Math. Comput., 427, 127170 (2022)
[51] On the first Steklov-Dirichlet eigenvalue for eccentric annuli [download] (with Jiho Hong, and Dong-Hwi Seo), Ann. Mat. Pura Appl., 201, 769–799 (2022)
[50] Geometric series expansion of the Neumann-Poincare operator: application to composite materials [download] (with Elena Cherkaev, Minwoo Kim), Eur. J. Appl. Math., 33(3), 560-585 (2022)
2021
[49] Explicit analytic solution for the plane elastostatic problem with a rigid inclusion of arbitrary shape subject to arbitrary far-field loadings [download] (with Ornella Mattei) Journal of Elasticity, 144, 81–105 (2021)
[48] Series expansions of the layer potential operators using the Faber polynomials and their applications to the transmission problem [download] (with Younghoon Jung), SIAM J. Math. Anal 53(2), 1630–1669 (2021)
[47] An extension of the Eshelby conjecture to domains of general shape in anti-plane elasticity [download] (with Doosung Choi, Kyoungsun Kim), J. Math. Anal. Appl. 495(2),124756 (2021)
[46] Numerical solution to the interface problem in a general domain using Moser's deformation method [download] (with E. Hong, E. Lee, and Y. Jung), J. Appl. Math. Comput. 65, 379–401 (2021)
[45] Analytical shape recovery of a conductivity inclusion based on Faber polynomials [download] (with Doosung Choi, Junbeom Kim), Mathematische Annalen, 381, 1837–1867 (2021)
2020
[44] Inclusions of General Shapes Having Constant Field Inside the Core and NonElliptical Neutral Coated Inclusions With Anisotropic Conductivity [download] (with Graeme W Milton), SIAM J. Appl. Math., 80(3), 1420–1440
[43] A decay estimate for the eigenvalues of the Neumann-Poincaré operator in two dimensions using the Grunsky coefficients [download] (with YoungHoon Jung), Proc. Amer. Math. Soc., 148(2):591–600 (2020)
2019
[42] Electric field concentration in the presence of an inclusion with eccentric core-shell geometry [download] (with Junbeom Kim), Mathematische Annalen, 373 (1-2), 517-551 (2019)
Characterization of stress concentration in two dimensions [arXiv] (with Jiho Hong), 2019
2018
[41] Corner effects on the perturbation of an electric potential [ download] (with Doosung Choi, Johan Helsing), SIAM J. Appl. Math., 78(3), 1577-1601 (2018)
2017
Stress concentration for two nearly touching circular holes, [arXiv] (with Sanghyeon Yu), 2017
[40] A Joint Sparse Recovery Framework for Accurate Reconstruction of Inclusions in Elastic Media [ download ] (with J. Yoo, Y. Jung, J. C. Ye and A. Wahab), SIAM J. Imaging Sci. 10 (3), 1104-1138 (2017)
[39] Classification of spectra of the Neumann-Poincare operator on planar domains with corners by resonance [ download ](with J Helsing, H Kang), Annales de l'Institut Henri Poincare (C) Non Linear Analysis Volume 34, Issue 4, 991-1011 (2017)
[38] Shielding at a distance due to anomalous resonance [download] (with S. Yu), New J. Phys. 19 033018 (2017)
[37] Spectral resolution of the Neumann-Poincare operator on intersecting disks and analysis of plasmon resonance [download](with H. Kang, and S. Yu), Arch. Ration. Mech. Anal (ARMA), Volume 226, Issue 1, 83-115 (2017)
~2016
Asymptotic analysis for superfocusing of the electric field in between two nearly touching metallic spheres [arXiv] (with Sanghyeon Yu), 2014
[36] M. Lim, " A review on the enhancement of near-cloaking using the multilayer structure" Contemporary Mathematics 660 (2016)
[35] O. K. Lee, H. Kang, J. C. Ye, and M. Lim, "A non-iterative method for the electrical impedance tomography based on joint sparse recovery", Inverse Problems 31 (7), 075002 (2015)
[34] HW Jeong, HJ Kim, J Eun, S Heo, M Lim, YH Cho, BM Kim, "High-speed dual-beam, crossed line-scanning fluorescence microscope with a point confocal resolution" Applied Optics 54 (12), 3811-3816 (2015)
[33] M. Lim and S. Yu, "Asymptotics of the solution to the conductivity equation in the presence of adjacent circular inclusions with finite conductivities", J. Math. Anal. Appl. 421, 131-156 (2015)
[32] H. Kang, H. Lee and M. Lim, "Construction of conformal mappings by generalized polarization tensors", Mathematical Methods in the Applied Sciences 38 (9), 1847-1854 (2015)
[31] H. Ammari, J. Garnier, H. Kang, M. Lim, and S. Yu "Generalized polarization tensors for shape description", Numerische Mathematik 126, 199-224 (2014)
[30] H. Kang, M. Lim and K. Yun "Characterization of the electric field concentration between two adjacent spherical perfect conductors", SIAM J. Appl. Math. 74, 125-146 (2014)
[29] H. Ammari, H. Kang, H. Lee, M. Lim, and S. Yu "Enhancement of Near Cloaking for the Full Maxwell Equations", SIAM J. Appl. Math. 73(6), 2055-2076 (2013)
[28] H. Ammari, H. Kang, H. Lee, and M. Lim "Enhancement of near-cloaking. Part II: the Helmholtz equation", Comm Math. Phys. Volume 317, Issue 2, pp 485-502 (2013)
[27] H. Ammari, H. Kang, H. Lee, and M. Lim "Enhancement of Near Cloaking Using Generalized Polarization Tensors Vanishing Structures. Part I: The Conductivity Problem" Comm Math. Phys. Volume 317, Issue 1, pp 253-266 (2013)
[26] H. Kang, M. Lim, and K. Yun "Asymptotics and Computation of the Solution to the Conductivity Equation in the Presence of Adjacent Inclusions with Extreme Conductivities" Jour Math Pures Appl., Volume 99, Issue 2, 234-249 (2013)
[25] H. Ammari, P. Garapon, F. Jouve, H. Kang, M. Lim, and S. Yu "A new optimal control approach for the reconstruction of extended inclusions", SIAM J. Control Optim., 51(2), 1372-1394 (2013)
[24] H. Ammari, J. Garnier, V. Jugnon, H. Kang, H. Lee, and M. Lim "Enhancement of near-cloaking. Part III: numerical simulations, statistical stability, and related question", Contemporary Mathematics, Volume 577 (2012)
[23] H. Ammari, H. Kang, M. Lim, and H. Zribi "The generalized polarization tensors for resolved imaging. Part I: Shape reconstruction of a conductivity inclusion" Math. Comp. 81, 367-386 (2012)
[22] H. Ammari, J. Garnier, H. Kang, M. Lim, and K. Solna "Multistatic imaging of extended targets" SIAM J. Imaging Sci., 5(2), 564-600 (2012)
[21] M. Lim and K. Yun "Strong influence of a small fiber on shear stress in fiber-reinforced composites" J. Differential Equations Volume 250, Issue 5, 2402-2439 (2011)
[20] H. Ammari, H. Kang, E. Kim, M. Lim, and K. Louati "A direct algorithm for ultrasound imaging of internal corrosion" SIAM J. Numer. Anal. 49, pp. 1177-1193 (2011)
[19] M. Lim and S. Yu "Reconstruction of the shape of an inclusion from Elastic Moment Tensors" Contemporary Mathematics 548 (2011)
[18] 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", Trans. Amer. Math. Soc. 362, 2901-2922. (2010)
[17] H. Ammari, H. Kang, M. Lim, and H. Zribi, "Conductivity Interface Problems. Part I: Small Perturbations of an Interface", Trans. Amer. Math. Soc. 362, 2435-2449 (2010)
[16] H. Ammari, E. Beretta, E. Francini, H. Kang, and M. Lim "Optimization algorithm for reconstructing interface changes of a conductivity inclusion from modal measurements", Math. Comp. 79, 1757-1777 (2010)
[15] H. Ammari, E. Beretta, E. Francini, H. Kang, and M. Lim "RECONSTRUCTION OF SMALL INTERFACE CHANGES OF AN INCLUSION FROM MODAL MEASUREMENTS II: THE ELASTIC CASE" J. Math. Pures et Appl. Volume 94, Issue 3, 322-339 (2010)
[14] H. Ammari, H. Kang, H. Lee, M. Lim, and H. Zribi "Decomposition Theorems and Fine Estimates for Electrical Fields in the Presence of Closely Located Circular Inclusions" J. Diff. Equat. 247, 2897-2912 (2009)
[13] M. Lim and K. Yun "Blow-up of Electric Fields between Closely Spaced Spherical Perfect Conductors", Comm. in Partial Differential Equations, Vol 34, 1287 - 1315 (2009)
[12] M. Lim, K. Louati, and H. Zribi, "Reconstructing Small Perturbations of Scatterers from Electric or Acoustic Far-Field Measurements", Math. Methods in Appl. Sci., Volume 31, Issue 11, 1315 - 1332 (2008)
[11] 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, 853-62 (2007)
[10] 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, 307-24 (2007)
[9] 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, 339-355 (2007)
[8] H. Ammari, H. Kang, and M. Lim, "Effective parameters of elastic composites", Indiana Univ. Math. J. Vol 55 No. 3, 903-922 (2006)
[7] H. Ammari, Y. 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) , 201-219 (2006)
[6] H. Ammari, H. Kang, E. Kim, and M. Lim, "Reconstruction of closely spaced small inclusions", SIAM Journal on Numerical Analysis, Vol 42, No. 6 , 2408-2428 (2005)
[5] H. Ammari, H. Kang, and M. Lim, "Gradient estimates for solutions to the conductivity problem", Mathematische Annalen, 332(2), 277-286 (2005)
[4] H. Kang, M. Lim, and G. Nakamura, "Reconstruction of Polygonal Cavities by Two Boundary Measurements", Journal of Physics: Conference Series, 12 , 75-82 (2005)
[3] H. Ammari, H. Kang, and M. Lim, "Polarization tensors and their applications", Journal of Physics: Conference Series, 12, 13-22 (2005)
[2] H. Kang, M. Lim, and G. Nakamura, "Detection of surface breaking cracks in two dimensions", Inverse Problems, 19, 909-918 (2003)
[1] M. Lim, "Symmetry of a boundary integral operator and a characterization of a ball", Illinois J. Math. 45, 537-543 (2001)