List of Publications and Preprints

 updated on June 5, 2008

Preprints

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

H. Ammari, P. Garapon, L. Guadarrama Bustos, and H. Kang, Transient anomaly imaging by the acoustic radiation force, submitted.

H. Ammari, Y. Capdeboscq, H. Kang, and A. Kozhemyak, Mathematical models and reconstruction methods in Magneto-acoustic imaging, submitted.

H. Ammari, P. Garapon, H. Kang, and H. Lee, Effective Viscosity Properties of Dilute Suspensions of Arbitrarily Shaped Particles, submitted

Papers in Press

H. Kang, E. Kim, and G.W. Milton, Inclusion pairs satisfying Eshelby's uniformity property, SIAM J. Appl. Math., to appear

H. Ammari, H. Kang, E. Kim, H. Lee, and K. Louati, Vibration Analysis for Detecting Internal Corrosion, Stud. Appl. Math., to appear.

H. Ammari, H. Kang, M. Lim, and H. Zribi, Conductivity Interface Problems. Part I: Small Perturbations of an Interface, Trans. Amer. Math. Soc., to appear.

H. Ammari, H. Kang, E. Kim, and H. Lee, Vibration testing for anomaly detection, Math. Meth. Appl. Sci., to appear.

H. Kang, Conjectures of Polya-Szego and Eshelby, and the Newtonian Potential Problem; A Review, Mechanics of Material, Milton special issue, to appear

H. Ammari, H. Kang, and H. Lee,  Asymptotic Analysis of High-Contrast Phononic Crystals and a Criterion for the Band-Gap Opening, Arch. Rational Mech. Anal., to appear.

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., to appear.

Published Papers

[72] Y. Capdeboscq and H. Kang, Improved Hashin-Shtrikman Bounds for Elastic Moment Tensors and an Application, Applied Math. Optimization 57 (2008), 263-288. Link

[71] H. Ammari, P. Garapon, H. Kang, and H. Lee, A Method of Biological Tissues Elasticity Reconstruction Using Magnetic Resonance Elastography Measurements, Quar. Appl. Math., 66 (2008) 139-175.

[70] H. Kang and G.W. Milton, Solutions to the Polya-Szego Conjecture and the Weak Eshelby Conjecture, Arch. Rational Mech. Anal, 188 (2008), 93-116. Link

[69] H. Ammari, H. Kang, E. Kim, K. Louati, and M.S. Vogelius, A MUSIC-type Algorithm for Detecting Internal Corrosion from Electrostatic Boundary Measurements, Numer. Math. 108 (Feb. 2008), 501-528. Link

[68] H. Ammari, H. Kang, and H. Lee, Asymptotic Expansions for Eigenvalues of the Lam\'{e} System in the Presence of Small Inclusions, Comm in PDE 32 (Nov. 2007), 1715-1736. Link

[67] 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. Link

[66] H. Kang, E. Kim, and J.-Y. Lee, Numerical Reconstruction of a Cluster of Small Elastic Inclusions, Inverse Probelms 23 (6) (Dec. 2007), 2311-2324. Link

[65] Y. Daido, H. Kang, and G. Nakamura, A probe method for the inverse boundary value problem of nonstationary heat equations, Inverse Problems 23 (Oct. 2007), 1787-1800. Link

[64] H. Ammari, H. Kang, and H. Zribi, Sensitivity Analysis with respect to the electrical conductivity,  J. Comp. Math. 25(3) (May, 2007), 244-251. Link

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

[62] H. Kang and K. Kim, Anisotropic Polarization Tensors for Ellipses and Ellipsoids, Jour. Comp. Math., 25 (2) (Mar. 2007), 157-168.

[61] H. Ammari, H. Kang, and H. Lee, A Boundary Integral Method for Computing Elastic Moment Tensors for Ellipses and Ellipsoids, Jour. Comp. Math., 25 (1) (Jan. 2007), 2-12.

[60] H. Ammari, H. Kang, and F. Santosa, Scattering of electromagnetic waves by thin dielectric planar structures, SIAM J. Math. Anal., 38 (4) (Dec. 2006), 1329-1342.  Link

[59] H. Ammari, H. Kang, and E. Kim, Approximate Boundary Conditions for Patch Antennas Mounted on Thin Dieletric Layers, Commun. Comput. Physics, Vol 1, No. 6 (Dec. 2006), 1076-1095.

[58] H. Kang and G.W. Milton, On Conjectures of Polya-Szego and Eshelby, in lnverse Problems, Multi-scale Analysis and Effective Medium Theory (H. Kang and H. Ammari Eds), Contemporary Math. 408 (2006), 75-80.

[57] Y. Capdeboscq and H. Kang, Improved Bounds on the Polarization Tensor for Thick Domains, in Inverse Problems, Multi-scale Analysis and Effective Medium Theory (H. Kang and H. Ammari Eds), Contemporary Math. 408 (2006), 69-74.

[56] H. Ammari and H. Kang, Generalized Polarization Tensors, Inverse Conductivity Problems, and Dilute Composite Materials: A Review, in Inverse Problems, Multi-scale Analysis and Effective Medium Theory (H. Kang and H. Ammari Eds), Contemporary Math. 408 (2006), 1-67.

[55] H. Ammari, Y. Capdeboscq, H. Kang, E. Kim, and M. Lim, Attainability by Simply Connected Domains of Optimal Bounds for Polarization Tensors, European Jour. of Applied Math. 17 (2) (April, 2006), 201-219. Link

[54]  H. Ammari and H. Kang, Reconstruction of Elastic Inclusions of Small Volume via Dynamic Measurements, Applied Math. and Optimization, 54 (2) (Sept. 2006), 223-235. Link

[53] H. Ammari, H. Kang, S. Soussi, and H. Zribi, Layer Potential Techniques in Spectral Analysis. Part II: Sensitivity Analysis of Spectral Properties of High Contrast Band-Gap Materials, SIAM Multi. Model. Simul., 5 (2) (April, 2006), 646-663. Link

[52] H. Ammari, H. Kang, and M. Lim, Effective Parameters of Elastic Composites, Indiana Univ. Math. J. 55, No. 3 (May, 2006), 903-922. Link

[51] H. Ammari, H. Kang, and K. Touibi, An asymptotic formula for the voltage potential in the case of a near-surface conductivity inclusion, Zeitschrift für Angewandte Mathematik und Physik (ZAMP), 57 (Mar. 2006), 234-243. Link

[50] H. Ammari, E. Iakovleva, H. Kang, and K. Kim, A direct algorithm for thermal imaging of small inclusions, SIAM J. Multiscale Modeling and Simulation 4 (Oct. 2005), 1116-1136. Link

[49] H, Kang, G. Nakamura, and M. Lim, Reconstruction of polygonal cavities by two boundary measurements, Journal of Physics: Conference Series, 12 (2005), 75-82. Link (IOP)

[48] H. Ammari, H. Kang, and M. Lim, Polarization Tensors and Their Applications, Journal of Physics: Conference Series, 12 (2005), 13-22. Link (IOP)

[47] H. Ammari, M. Asch, and H. Kang, Boundary voltage perturbations caused by small conductivity inhomogeneities nearly touching the boundary, Advances in Appl. Math., 35 (Oct, 2005), 368-391. Link (IF=0.382, Elsevier)

[46] H. Ammari, E. Iakovleva, and H. Kang, Reconstruction of a small inclusion in a 2-D open waveguide, SIAM Jour. of Applied Math., Vol. 65, No. 6 (Aug, 2005), 2107-2127. Link (IF=1.210, SIAM)

[45] H. Ammari, H. Kang, and M. Lim, Gradient Estimates for Solutions to the Conductivity Problem, Math. Ann. 332(2) (June, 2005), 277-286. Link (IF=0.691, Springer)

[44] H. Ammari, H. Kang, and K. Kim, Polarization Tensors and Effective Properties of Anisotropic Composite Materials, Jour. of Differential Equations 215 (Sept, 2005), 401-428, Link (IF=0.921, Elsevier)

[43] H. Ammari, H. Kang, E. Kim, and M. Lim, Reconstruction of Closely Spaced Small Inclusions, SIAM Journal on Numerical Analysis Vol 42, No. 6 (Mar, 2005), 2408-2428. Link (IF=1.297, SIAM)

[42] H. Kang and K. Tanuma, An Inverse Problem for Scalar Conservation Laws, Inverse Problems 21 (June, 2005), 1047-1059. Link (IF=1.248, IOP)

[41] H. Ammari, H. Kang, and K. Touibi, Boundary Layer Techniques for Deriving the Effective Properties of Composite Materials, Asymptotic Analysis, Vol 41, no. 2 (Feb, 2005), pp. 119-140, PDF file (IF=0.468, IOS Press)

[39] H. Kang and H. Lee, Identification of Simple Poles via Boundary Measurements and an Application to EIT, Inverse Problems, 20 (Dec. 2004), 1853-1863. Link (IF=1.248, IOP)

[38] H. Ammari and H. Kang, Boundary Layer Techniques for Solving the Helmholtz Equation in the Presence of Small Inhomogeneities, Journal of Mathematical Analysis and Application, 296 (Aug. 2004), 190-208. Link (IF=0.444, Elsevier)

[37] H. Ammari and H. Kang, Reconstruction of Conductivity Inhomogeneities of Small Diameter via Boundary Measurements, Contemporary Math. 348, 23-32.

[36] H. Kang and G. Uhlmann, Inverse problems for the Pauli Hamiltonian in two dimensions, Journal of Fourier Analysis and Applications 10 (2) (Mar. 2004), 201-215. Link

[35] H. Kang, M. Lim, and G. Nakamura, Detection of Surface Breaking Cracks in Two Dimensions, Inverse Problems 19 (Aug. 2003), 909-918. Link

[34] H. Ammari and H. Kang, Properties of the generalized polarization tensors, SIAM J. Multiscale Modeling and Simulation, Vol 1, No. 2 (April, 2003), 335-348

[33] H. Kang, E. Kim, and J. Lee, Identification of Elastic Inclusions and Elastic Moment Tensors by Boundary Measurements, Inverse Problems 19 (June, 2003), 703-724.

[32] H. Kang, E Kim, and K. Kim, Anisotropic polarization tensors and detection of an anisotropic inclusion, SIAM J. Appl. Math., Vol. 63, No. 4 (July, 2003), 1276-1291.

[31] H. Ammari and H. Kang, High-Order Terms in the Asymptotic Expansions of the Steady-State Voltage Potentials in the Presence of Conductivity Inhomogeneities of Small Diameter, SIAM J. Math. Anal., Vol. 34, No. 5 (Sept, 2003), 1152-1166.

[30] H. Kang and K. Yun, Boundary determination of conductivities and Riemannian metrics via local Dirichlet-to-Neumann operator, SIAM Jour. Math. Anal., Vol. 34, No. 3 (May, 2003), 719-735

[29] H. Ammari, H. Kang, G. Nakamura, and K. Tanuma, Asymptotic Expansion of Solutions to the Lam\'e System in the Presence of Inclusions and Applications, Proceedings of International conference on Structual Stability and Dynamics (2002), 755-761

[28] H. Ammari and H. Kang, A new method for reconstructing electromagnetic inhomogeneities of small volume, Inverse Problems 19 (Feb. 2003), 63-71

[27] H. Ammari, H. Kang, G. Nakamura, and K. Tanuma, Complete Asymptotic Expansions of Solutions of the System of Elastostatics in the Presence of an Inclusion of Small Diameter and Detection of an Inclusion, Jour. of Elasticity, 67 (May, 2002), 97-129.

[26] H. Kang, A uniqueness theorem for an inverse boundary value problem in two dimensions, Jour. Math. Anal. Appl. 270 (June, 2002), 291-302

[25] H. Kang and G. Nakamura, Identification of nonlinearity in a conductivity equation via the Dirichlet-to-Neumann map, Inverse Problems 18 (Aug. 2002), 1079-1088

[24] °­Çö¹è, ¼­Áø±Ù, ¿ªÀüµµÃ¼ ¹®Á¦¿Í Àü±â ÀÓÇÇ´ø½º ¿µ»ó ±â¹ý, Comm. of Korean Math. Soc, 16 (2001), 333-369

[23] H. Kang and J.-K. Seo, A note on uniqueness and stability in the inverse conductivity problem with one measurement, Jour. of Korean Math. Soc. 38 (2001), 781-791

[22] H. Kang and H. Koo, Estimates of the harmonic Bergman kernel on smooth domains, Jour. of Functional Analysis 185 (2001), 220-239

[21] H. Kang, K. Kwon, and K. Yun, Recovery of an inhomogeneity in an elliptic equation, Inverse Problems 17 (2001) 25-44

[20] H. Kang and J.-K. Seo, Recent Progress in the inverse conductivity problem with single measurement, in Inverse problems and related fields, CRC Press, 2000

[19] H. Kang and H. Koo, Two-weighted inequalities for the derivatives of holomorphic functions and Carleson measures on the unit ball, Nagoya Math. J. Vol 158 (2000), 107-132

[18] H. Kang and J.-K. Seo, Identification of domains with near-extreme conductivity: global stability and error estimates", Inverse Problems 15 (1999) 851-867

[17] H. Kang and J.-K. Seo, The inverse conductivity problem with one measurement: uniqueness for balls", SIAM J. of Applied Math. Vol 59, No.5 (1999), pp. 1533-1539

[16] E. Fabes, H. Kang and J.-K. Seo, The inverse conductivity problem with one measurement: error estimates and approximate identification for perturbed disks, SIAM J. of Math. Anal, Vol 30, No. 4 (1999), pp. 699-720

[15] H. Kang and J.-K. Seo, On stability of a transmission problem, Jour. Korean Math. Soc., 34 (1997), 695-706

[14] H. Kang, J.-K. Seo, and D. Sheen, The inverse conductivity problem with one measurement: stability and estimation of size, SIAM J. of Math. Anal, 28(6) (1997), 1389-1405

[13] H. Kang, J.-K. Seo, and D. Sheen, Numerical Identification of Discontinuous Conductivity Coefficients, Inverse Problems, 13 (1997), 113-123

[12] H. Kang and H. Koo, Carleson measure characterizations of BMOA on pseudoconvex domains, Pacific J. of Math., 178(2) (1997), 279-291

[11] H. Kang and J-K. Seo, Layer potential techniques for the inverse conductivity problems, Inverse Problems, 12 (1996), 267-278

[10] H. Kang and H. Koo, A note on BMOA and VMOA on the unit ball, Complex Vari., 29 (1996), 225-231

[9] H. Kang and J.-K. Seo, Cauchy transforms on polynomial curves and related operators, Nagoya Math. J., Vol 138 (1995), 19-32

[8] H. Kang, On holomorphic automorphisms on certain class of domains of infinite type, Tohoku Math. J. 46 (1994), 435-442

[7] Y. Ha, H. Kang, J. Lee, and J.-K. Seo, Unimodular wavelets for  and the Hardy space, Michigan Math. J. 41 (1994), 345-361

[6] H. Kang, J.-K. Seo, and Y.S. Shim, On the restriction of BMO, Jour of KMS 31 (1994), 703-707

[5] H. Kang, Automorphism groups on certain class of Reinhardt domains, Bull of KMS 30 (1993), 171-177

[4] H. Kang and J.-K. Seo, -boundedness of Cauchy transforms on smooth non-Lipschitz curves, Nagoya  Math. J. 130 (1993), 123-147.

[3] H. Kang, On the Fourier transform of , Studia Math, 1991, p.231-234

[2] H. Kang, An approximation theorem for Szego kernels and applications, Michigan Math. Jour. 1990, p.447-458

[1] H. Kang, -equations on certain unbounded weakly pseudo convex domains, Transactions of American Math. Soc. 1989, p.389-413