Ando, Kazunori; Kang, Hyeonbae; Lee, Sanghyuk; Miyanishi, Yoshihisa Spectral structure of the Neumann-Poincaré operator on thin ellipsoids and flat domains. (English) Zbl 1505.35097 SIAM J. Math. Anal. 54, No. 6, 6164-6185 (2022). MSC: 35J05 35P05 PDFBibTeX XMLCite \textit{K. Ando} et al., SIAM J. Math. Anal. 54, No. 6, 6164--6185 (2022; Zbl 1505.35097) Full Text: DOI arXiv
Kang, Hyeonbae; Yun, Kihyun Quantitative estimates of the field excited by an emitter in a narrow region between two circular inclusions. (English) Zbl 1423.35097 Q. Appl. Math. 77, No. 4, 861-873 (2019). MSC: 35J25 35J05 PDFBibTeX XMLCite \textit{H. Kang} and \textit{K. Yun}, Q. Appl. Math. 77, No. 4, 861--873 (2019; Zbl 1423.35097) Full Text: DOI arXiv
Ando, Kazunori; Kang, Hyeonbae; Miyanishi, Yoshihisa Exponential decay estimates of the eigenvalues for the Neumann-Poincaré operator on analytic boundaries in two dimensions. (English) Zbl 1407.35147 J. Integral Equations Appl. 30, No. 4, 473-489 (2018). Reviewer: Sergey G. Pyatkov (Khanty-Mansiysk) MSC: 35P15 35C20 35J05 35R30 PDFBibTeX XMLCite \textit{K. Ando} et al., J. Integral Equations Appl. 30, No. 4, 473--489 (2018; Zbl 1407.35147) Full Text: DOI arXiv Euclid
Helsing, Johan; Kang, Hyeonbae; Lim, Mikyoung Classification of spectra of the Neumann-Poincaré operator on planar domains with corners by resonance. (English. French summary) Zbl 1435.35266 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 4, 991-1011 (2017). MSC: 35P05 35J05 35J25 45C05 47A10 PDFBibTeX XMLCite \textit{J. Helsing} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 4, 991--1011 (2017; Zbl 1435.35266) Full Text: DOI arXiv
Ammari, Habib; Kang, Hyeonbae; Lee, Hyundae; Lim, Mikyoung Enhancement of near-cloaking. II: The Helmholtz equation. (English) Zbl 1260.35095 Commun. Math. Phys. 317, No. 2, 485-502 (2013). MSC: 35P25 35J05 35Q60 PDFBibTeX XMLCite \textit{H. Ammari} et al., Commun. Math. Phys. 317, No. 2, 485--502 (2013; Zbl 1260.35095) Full Text: DOI arXiv
Ammari, Habib; Garnier, Josselin; Jugnon, Vincent; Kang, Hyeonbae; Lee, Hyundae; Lim, Mikyoung Enhancement of near-cloaking. Part III: Numerical simulations, statistical stability, and related questions. (English) Zbl 1303.35107 Ammari, Habib (ed.) et al., Multi-scale and high-contrast PDE. From modelling, to mathematical analysis, to inversion. Proceedings of the conference, University of Oxford, UK, June 28 – July 1, 2011. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-6929-1/pbk; 978-0-8218-9100-1/ebook). Contemporary Mathematics 577, 1-24 (2012). MSC: 35Q60 78A45 35J05 35P25 78A20 78A48 78M10 PDFBibTeX XMLCite \textit{H. Ammari} et al., Contemp. Math. 577, 1--24 (2012; Zbl 1303.35107) Full Text: DOI
Ammari, Habib (ed.); Capdeboscq, Yves (ed.); Kang, Hyeonbae (ed.) Multi-scale and high-contrast PDE. From modelling, to mathematical analysis, to inversion. Proceedings of the conference, University of Oxford, UK, June 28 – July 1, 2011. (English) Zbl 1248.35002 Contemporary Mathematics 577. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-6929-1/pbk; 978-0-8218-9100-1/ebook). vii, 144 p. (2012). MSC: 35-06 35J05 35J25 35K35 35L05 76A15 35R60 00B25 PDFBibTeX XMLCite \textit{H. Ammari} (ed.) et al., Multi-scale and high-contrast PDE. From modelling, to mathematical analysis, to inversion. Proceedings of the conference, University of Oxford, UK, June 28 -- July 1, 2011. Providence, RI: American Mathematical Society (AMS) (2012; Zbl 1248.35002) Full Text: DOI
Ammari, Habib; Garnier, Josselin; Jugnon, Vincent; Kang, Hyeonbae Stability and resolution analysis for a topological derivative based imaging functional. (English) Zbl 1238.35180 SIAM J. Control Optim. 50, No. 1, 48-76 (2012). MSC: 35R30 35B35 35J05 PDFBibTeX XMLCite \textit{H. Ammari} et al., SIAM J. Control Optim. 50, No. 1, 48--76 (2012; Zbl 1238.35180) Full Text: DOI Link
Ammari, Habib; Kang, Hyeonbae; Kim, Eunjoo; Lim, Mikyoung; Louati, Kaouthar A direct algorithm for ultrasound imaging of internal corrosion. (English) Zbl 1238.65107 SIAM J. Numer. Anal. 49, No. 3, 1177-1193 (2011). Reviewer: Martin Reißel (Aachen) MSC: 65N21 35J05 35R30 PDFBibTeX XMLCite \textit{H. Ammari} et al., SIAM J. Numer. Anal. 49, No. 3, 1177--1193 (2011; Zbl 1238.65107) Full Text: DOI Link
Ammari, Habib; Kang, Hyeonbae; Lim, Mikyoung; Zribi, Habib Layer potential techniques in spectral analysis. I: Complete asymptotic expansions for eigenvalues of the Laplacian in domains with small inclusions. (English) Zbl 1195.35234 Trans. Am. Math. Soc. 362, No. 6, 2901-2922 (2010). Reviewer: Dian K. Palagachev (Bari) MSC: 35P10 30E15 35J05 35B40 78A48 PDFBibTeX XMLCite \textit{H. Ammari} et al., Trans. Am. Math. Soc. 362, No. 6, 2901--2922 (2010; Zbl 1195.35234) Full Text: DOI
Ammari, H.; Kang, H.; Kim, E. Detection of internal corrosion. (English) Zbl 1169.35061 ESAIM, Proc. 26, 207-216 (2009). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 35R30 35J05 35J25 65M32 78A46 PDFBibTeX XMLCite \textit{H. Ammari} et al., ESAIM, Proc. 26, 207--216 (2008; Zbl 1169.35061) Full Text: DOI
Ammari, Habib; Dassios, George; Kang, Hyeonbae; Lim, Mikyoung Estimates for the electric field in the presence of adjacent perfectly conducting sphere. (English) Zbl 1135.35322 Q. Appl. Math. 65, No. 2, 339-355 (2007). MSC: 35J05 78A25 78A48 35Q60 82D55 PDFBibTeX XMLCite \textit{H. Ammari} et al., Q. Appl. Math. 65, No. 2, 339--355 (2007; Zbl 1135.35322) Full Text: DOI
Ammari, Habib; Kang, Hyeoenbae; Soussi, Sofiane; Zribi, Habib Layer potential techniques in spectral analysis. II: Sensitivity analysis of spectral properties of high contrast band-gap materials. (English) Zbl 1115.81072 Multiscale Model. Simul. 5, No. 2, 646-663 (2006). MSC: 81V80 82B10 35J05 35C15 35P05 PDFBibTeX XMLCite \textit{H. Ammari} et al., Multiscale Model. Simul. 5, No. 2, 646--663 (2006; Zbl 1115.81072) Full Text: DOI
Ammari, Habib; Kang, Hyeonbae; Kim, Eunjoo; Lim, Mikyoung Reconstruction of closely spaced small inclusions. (English) Zbl 1081.35133 SIAM J. Numer. Anal. 42, No. 6, 2408-2428 (2005). MSC: 35R30 35J05 35B30 PDFBibTeX XMLCite \textit{H. Ammari} et al., SIAM J. Numer. Anal. 42, No. 6, 2408--2428 (2005; Zbl 1081.35133) Full Text: DOI
Kang, Hyeonbae; Lee, Hyundae Identification of simple poles via boundary measurements and an application of EIT. (English) Zbl 1077.35119 Inverse Probl. 20, No. 6, 1853-1863 (2004). MSC: 35R30 30C15 35J05 PDFBibTeX XMLCite \textit{H. Kang} and \textit{H. Lee}, Inverse Probl. 20, No. 6, 1853--1863 (2004; Zbl 1077.35119) Full Text: DOI
Ammari, Habib; Kang, Hyeonbae Boundary layer techniques for solving the Helmholtz equation in the presence of small inhomogeneities. (English) Zbl 1149.35337 J. Math. Anal. Appl. 296, No. 1, 190-208 (2004). MSC: 35J05 35C20 PDFBibTeX XMLCite \textit{H. Ammari} and \textit{H. Kang}, J. Math. Anal. Appl. 296, No. 1, 190--208 (2004; Zbl 1149.35337) Full Text: DOI
Ammari, Habib; Kang, Hyeonbae Properties of the generalized polarization tensors. (English) Zbl 1060.35159 Multiscale Model. Simul. 1, No. 2, 335-348 (2003). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35R30 35J05 PDFBibTeX XMLCite \textit{H. Ammari} and \textit{H. Kang}, Multiscale Model. Simul. 1, No. 2, 335--348 (2003; Zbl 1060.35159) Full Text: DOI
Kang, Hyeonbae; Yun, Kihyun Boundary determination of conductivities and Riemannian metrics via local Dirichlet-to-Neumann operator. (English) Zbl 1044.35106 SIAM J. Math. Anal. 34, No. 3, 719-735 (2003). MSC: 35R30 35J05 PDFBibTeX XMLCite \textit{H. Kang} and \textit{K. Yun}, SIAM J. Math. Anal. 34, No. 3, 719--735 (2003; Zbl 1044.35106) Full Text: DOI
Ammari, Habib; Kang, Hyeonbae A new method for reconstructing electromagnetic inhomogeneities of small volume. (English) Zbl 1020.35113 Inverse Probl. 19, No. 1, 63-71 (2003). MSC: 35R30 78A46 35J05 35Q60 PDFBibTeX XMLCite \textit{H. Ammari} and \textit{H. Kang}, Inverse Probl. 19, No. 1, 63--71 (2003; Zbl 1020.35113) Full Text: DOI
Kang, Hyeonbae A uniqueness theorem for an inverse boundary value problem in two dimensions. (English) Zbl 1040.35137 J. Math. Anal. Appl. 270, No. 1, 291-302 (2002). MSC: 35R30 35J05 PDFBibTeX XMLCite \textit{H. Kang}, J. Math. Anal. Appl. 270, No. 1, 291--302 (2002; Zbl 1040.35137) Full Text: DOI
Kang, Hyeonbae; Kwon, Kiwoon; Yun, Kihyun Recovery of an inhomogeneity in an elliptic equation. (English) Zbl 0974.35134 Inverse Probl. 17, No. 1, 25-44 (2001). MSC: 35R30 35J05 PDFBibTeX XMLCite \textit{H. Kang} et al., Inverse Probl. 17, No. 1, 25--44 (2001; Zbl 0974.35134) Full Text: DOI
Kang, Hyeonbae; Seo, Jin Keun Recent progress in the inverse conductivity problem with single measurement. (English) Zbl 0963.35199 Nakamura, G. (ed.) et al., Inverse problems and related topics. Proceedings of a seminar, Kobe Institute, Kobe, Japan, February 6-10, 1998. Boca Raton, FL: Chapman & Hall/CRC. Chapman Hall/CRC Res. Notes Math. 419, 69-80 (2000). MSC: 35R30 35J05 PDFBibTeX XMLCite \textit{H. Kang} and \textit{J. K. Seo}, Chapman Hall/CRC Res. Notes Math. 419, 69--80 (2000; Zbl 0963.35199)
Kang, Hyeonbae; Seo, Jin Keun Identification of domains with near-extreme conductivity: Global stability and error estimates. (English) Zbl 0934.35205 Inverse Probl. 15, No. 4, 851-867 (1999). MSC: 35R30 35J05 PDFBibTeX XMLCite \textit{H. Kang} and \textit{J. K. Seo}, Inverse Probl. 15, No. 4, 851--867 (1999; Zbl 0934.35205) Full Text: DOI
Kang, Hyeonbae; Seo, Jin Keun; Sheen, Dongwoo Numerical identification of discontinuous conductivity coefficients. (English) Zbl 0934.35204 Inverse Probl. 13, No. 1, 113-123 (1997). Reviewer: B.D.Sleeman (Leeds) MSC: 35R30 35J05 35R05 65N21 PDFBibTeX XMLCite \textit{H. Kang} et al., Inverse Probl. 13, No. 1, 113--123 (1997; Zbl 0934.35204) Full Text: DOI