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1

Mathematical Methods in Elasticity Imaging () || Chapter Five. Backpropagation and Multiple Signal Classification Imaging of Small Inclusions

Kang, Hyeonbae, Lee, Hyundae, Wahab, Abdul, Ammari, Habib, Bretin, Elie, Garnier, Josselin

Year:

2015

Language:

english

File:

PDF, 449 KB

english, 2015

2

Gradient estimates for solutions to the conductivity problem

Habib Ammari, Hyeonbae Kang, Mikyoung Lim

Journal:

Mathematische Annalen

Year:

2005

Language:

english

File:

PDF, 146 KB

english, 2005

3

Boundary layer techniques for solving the Helmholtz equation in the presence of small inhomogeneities

Habib Ammari, Hyeonbae Kang

Journal:

Journal of Mathematical Analysis and Applications

Year:

2004

Language:

english

File:

PDF, 270 KB

english, 2004

4

Inverse Conductivity Problem with One Measurement: Uniqueness of Balls in $\Bbb R^3$

Kang, Hyeonbae, Seo, Jin Keun

Journal:

SIAM Journal on Applied Mathematics

Year:

1999

Language:

english

File:

PDF, 284 KB

english, 1999

5

Cloaking Due to Anomalous Localized Resonance in Plasmonic Structures of Confocal Ellipses

Chung, Daewon, Kang, Hyeonbae, Kim, Kyoungsun, Lee, Hyundae

Journal:

SIAM Journal on Applied Mathematics

Year:

2014

Language:

english

File:

PDF, 219 KB

english, 2014

6

Spectrum of the Neumann–Poincaré Operator for Ellipsoids and Tunability

Feng, Tingting, Kang, Hyeonbae

Journal:

Integral Equations and Operator Theory

Year:

2016

Language:

english

File:

PDF, 463 KB

english, 2016

7

Mathematical Methods in Elasticity Imaging () || Chapter Six. Topological Derivative Based Imaging of Small Inclusions in the Time-Harmonic Regime

Kang, Hyeonbae, Lee, Hyundae, Wahab, Abdul, Ammari, Habib, Bretin, Elie, Garnier, Josselin

Year:

2015

Language:

english

File:

PDF, 294 KB

english, 2015

8

Mathematical Methods in Elasticity Imaging () || Introduction

Kang, Hyeonbae, Lee, Hyundae, Wahab, Abdul, Ammari, Habib, Bretin, Elie, Garnier, Josselin

Year:

2015

Language:

english

File:

PDF, 71 KB

english, 2015

9

Mathematical Methods in Elasticity Imaging () || Appendix A. Introduction to Random Processes

Kang, Hyeonbae, Lee, Hyundae, Wahab, Abdul, Ammari, Habib, Bretin, Elie, Garnier, Josselin

Year:

2015

Language:

english

File:

PDF, 198 KB

english, 2015

10

Mathematical Methods in Elasticity Imaging () || Chapter Eleven. Vibration Testing

Kang, Hyeonbae, Lee, Hyundae, Wahab, Abdul, Ammari, Habib, Bretin, Elie, Garnier, Josselin

Year:

2015

Language:

english

File:

PDF, 492 KB

english, 2015

11

Mathematical Methods in Elasticity Imaging () || Chapter Nine. Optimal Control Imaging of Extended Inclusions

Kang, Hyeonbae, Lee, Hyundae, Wahab, Abdul, Ammari, Habib, Bretin, Elie, Garnier, Josselin

Year:

2015

Language:

english

File:

PDF, 280 KB

english, 2015

12

Mathematical Methods in Elasticity Imaging () || Chapter Seven. Stability of Topological Derivative Based Imaging Functionals

Kang, Hyeonbae, Lee, Hyundae, Wahab, Abdul, Ammari, Habib, Bretin, Elie, Garnier, Josselin

Year:

2015

Language:

english

File:

PDF, 220 KB

english, 2015

13

Mathematical Methods in Elasticity Imaging () || Appendix C. The Generalized Argument Principle and Rouché’s Theorem

Kang, Hyeonbae, Lee, Hyundae, Wahab, Abdul, Ammari, Habib, Bretin, Elie, Garnier, Josselin

Year:

2015

Language:

english

File:

PDF, 153 KB

english, 2015

14

Mathematical Methods in Elasticity Imaging () || References

Kang, Hyeonbae, Lee, Hyundae, Wahab, Abdul, Ammari, Habib, Bretin, Elie, Garnier, Josselin

Year:

2015

Language:

english

File:

PDF, 129 KB

english, 2015

15

Mathematical Methods in Elasticity Imaging () || Appendix B. Asymptotics of the Attenuation Operator

Kang, Hyeonbae, Lee, Hyundae, Wahab, Abdul, Ammari, Habib, Bretin, Elie, Garnier, Josselin

Year:

2015

Language:

english

File:

PDF, 150 KB

english, 2015

16

Mathematical Methods in Elasticity Imaging () || Chapter Eight. Time-Reversal Imaging of Extended Source Terms

Kang, Hyeonbae, Lee, Hyundae, Wahab, Abdul, Ammari, Habib, Bretin, Elie, Garnier, Josselin

Year:

2015

Language:

english

File:

PDF, 963 KB

english, 2015

17

Mathematical Methods in Elasticity Imaging () || Chapter Ten. Imaging from Internal Data

Kang, Hyeonbae, Lee, Hyundae, Wahab, Abdul, Ammari, Habib, Bretin, Elie, Garnier, Josselin

Year:

2015

Language:

english

File:

PDF, 707 KB

english, 2015

18

Mathematical Methods in Elasticity Imaging () || Index

Kang, Hyeonbae, Lee, Hyundae, Wahab, Abdul, Ammari, Habib, Bretin, Elie, Garnier, Josselin

Year:

2015

Language:

english

File:

PDF, 116 KB

english, 2015

19

Estimates for the electric field in the presence of adjacent perfectly conducting spheres

Ammari, Habib, Dassios, George, Kang, Hyeonbae, Lim, Mikyoung

Journal:

Quarterly of Applied Mathematics

Year:

2007

Language:

english

File:

PDF, 221 KB

english, 2007

20

Spectral structure of the Neumann–Poincaré operator on tori

Ando, Kazunori, Ji, Yong-Gwan, Kang, Hyeonbae, Kawagoe, Daisuke, Miyanishi, Yoshihisa

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2019

Language:

english

File:

PDF, 572 KB

english, 2019

21

A proof of the Flaherty–Keller formula on the effective property of densely packed elastic composites

Kang, Hyeonbae, Yu, Sanghyeon

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2020

Language:

english

File:

PDF, 356 KB

english, 2020

22

Estimates of the Harmonic Bergman Kernel on Smooth Domains

Hyeonbae Kang, Hyungwoon Koo

Journal:

Journal of Functional Analysis

Year:

2001

Language:

english

File:

PDF, 161 KB

english, 2001

23

Reconstruction of small interface changes of an inclusion from modal measurements II: The elastic case

Habib Ammari, Elena Beretta, Elisa Francini, Hyeonbae Kang, Mikyoung Lim

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2010

Language:

english

File:

PDF, 261 KB

english, 2010

24

A Direct Algorithm for Ultrasound Imaging of Internal Corrosion

Ammari, Habib, Kang, Hyeonbae, Kim, Eunjoo, Lim, Mikyoung, Louati, Kaouthar

Journal:

SIAM Journal on Numerical Analysis

Year:

2011

Language:

english

File:

PDF, 540 KB

english, 2011

25

Inclusion Pairs Satisfying Eshelby's Uniformity Property

Kang, Hyeonbae, Kim, Eunjoo, Milton, Graeme W.

Journal:

SIAM Journal on Applied Mathematics

Year:

2008

Language:

english

File:

PDF, 1.31 MB

english, 2008

26

Reconstruction of the Optical Absorption Coefficient of a Small Absorber from the Absorbed Energy Density

Ammari, Habib, Bossy, Emmanuel, Jugnon, Vincent, Kang, Hyeonbae

Journal:

SIAM Journal on Applied Mathematics

Year:

2011

Language:

english

File:

PDF, 243 KB

english, 2011

27

Reconstruction of a Small Inclusion in a Two-Dimensional Open Waveguide

Ammari, Habib, Iakovleva, Ekaterina, Kang, Hyeonbae

Journal:

SIAM Journal on Applied Mathematics

Year:

2005

Language:

english

File:

PDF, 289 KB

english, 2005

28

Anisotropic Polarization Tensors and Detection of an Anisotropic Inclusion

Kim, EunJoo, Kang, Hyeonbae, Kim, Kyoungsun

Journal:

SIAM Journal on Applied Mathematics

Year:

2003

Language:

english

File:

PDF, 217 KB

english, 2003

29

Properties of the Generalized Polarization Tensors

Ammari, Habib, Kang, Hyeonbae

Journal:

Multiscale Modeling and Simulation

Year:

2003

Language:

english

File:

PDF, 177 KB

english, 2003

30

Enhancement of Near-Cloaking. Part II: The Helmholtz Equation

Habib Ammari, Hyeonbae Kang, Hyundae Lee, Mikyoung Lim

Journal:

Communications in Mathematical Physics

Year:

2013

Language:

english

File:

PDF, 318 KB

english, 2013

31

Sharp bounds on the volume fractions of two materials in a two-dimensional body from electrical boundary measurements: the translation method

Hyeonbae Kang, Eunjoo Kim, Graeme W. Milton

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2012

Language:

english

File:

PDF, 1.40 MB

english, 2012

32

Bounds on the Volume Fractions of Two Materials in a Three-Dimensional Body from Boundary Measurements by the Translation Method

Kang, Hyeonbae, Milton, Graeme W.

Journal:

SIAM Journal on Applied Mathematics

Year:

2013

Language:

english

File:

PDF, 232 KB

english, 2013

33

Invariance properties of generalized polarization tensors and design of shape descriptors in three dimensions

Ammari, Habib, Chung, Daewon, Kang, Hyeonbae, Wang, Han

Journal:

Applied and Computational Harmonic Analysis

Year:

2015

Language:

english

File:

PDF, 229 KB

english, 2015

34

∂̄b-Equations on Certain Unbounded Weakly Pseudoconvex Domains

Journal:

Transactions of the American Mathematical Society

Year:

1989

Language:

english

File:

PDF, 1.31 MB

english, 1989

35

Inclusion Pairs Satisfying Eshelby's Uniformity Property

Hyeonbae Kang, Eunjoo Kim and Graeme W. Milton

Journal:

SIAM Journal on Applied Mathematics

Year:

2008

Language:

english

File:

PDF, 1.44 MB

english, 2008

36

Anisotropic Polarization Tensors and Detection of an Anisotropic Inclusion

Hyeonbae Kang, Eunjoo Kim and Kyoungsun Kim

Journal:

SIAM Journal on Applied Mathematics

Year:

2003

Language:

english

File:

PDF, 407 KB

english, 2003

37

Reconstruction of a Small Inclusion in a Two-Dimensional Open Waveguide

Habib Ammari, Ekaterina Iakovleva and Hyeonbae Kang

Journal:

SIAM Journal on Applied Mathematics

Year:

2005

Language:

english

File:

PDF, 1.36 MB

english, 2005

38

Enhancement of Near Cloaking for the Full Maxwell Equations

Ammari, Habib, Kang, Hyeonbae, Lee, Hyundae, Lim, Mikyoung, Yu, Sanghyeon

Journal:

SIAM Journal on Applied Mathematics

Year:

2013

Language:

english

File:

PDF, 297 KB

english, 2013

39

Scattering of Electromagnetic Waves by Thin Dielectric Planar Structures

Ammari, Habib, Kang, Hyeonbae, Santosa, Fadil

Journal:

SIAM Journal on Mathematical Analysis

Year:

2006

Language:

english

File:

PDF, 180 KB

english, 2006

40

Multistatic Imaging of Extended Targets

Ammari, Habib, Garnier, Josselin, Kang, Hyeonbae, Lim, Mikyoung, Sølna, Knut

Journal:

SIAM Journal on Imaging Sciences

Year:

2012

Language:

english

File:

PDF, 677 KB

english, 2012

41

Bounds on the Size of an Inclusion Using the Translation Method for Two-Dimensional Complex Conductivity

Kang, Hyeonbae, Kim, Kyoungsun, Lee, Hyundae, Li, Xiaofei, Milton, Graeme W.

Journal:

SIAM Journal on Applied Mathematics

Year:

2014

Language:

english

File:

PDF, 379 KB

english, 2014

42

Characterization of the Electric Field Concentration between Two Adjacent Spherical Perfect Conductors

Kang, Hyeonbae, Lim, Mikyoung, Yun, KiHyun

Journal:

SIAM Journal on Applied Mathematics

Year:

2014

Language:

english

File:

PDF, 240 KB

english, 2014

43

Optimal estimates and asymptotics for the stress concentration between closely located stiff inclusions

Kang, Hyeonbae, Lee, Hyundae, Yun, KiHyun

Journal:

Mathematische Annalen

Year:

2015

Language:

english

File:

PDF, 332 KB

english, 2015

44

Conductivity interface problems. Part I: Small perturbations of an interface

Ammari, Habib, Kang, Hyeonbae, Lim, Mikyoung, Zribi, Habib

Journal:

Transactions of the American Mathematical Society

Year:

2009

Language:

english

File:

PDF, 509 KB

english, 2009

45

Layer potential techniques in spectral analysis. Part I: Complete asymptotic expansions for eigenvalues of the Laplacian in domains with small inclusions

Ammari, Habib, Kang, Hyeonbae, Lim, Mikyoung, Zribi, Habib

Journal:

Transactions of the American Mathematical Society

Year:

2010

Language:

english

File:

PDF, 299 KB

english, 2010

46

Inverse Conductivity Problem with One Measurement: Uniqueness of Balls in R3

Hyeonbae Kang and Jin Keun Seo

Journal:

SIAM Journal on Applied Mathematics

Year:

1999

Language:

english

File:

PDF, 222 KB

english, 1999

47

Spectral properties of the Neumann–Poincaré operator and uniformity of estimates for the conductivity equation with complex coefficients

Kang, Hyeonbae, Kim, Kyoungsun, Lee, Hyundae, Shin, Jaemin, Yu, Sanghyeon

Journal:

Journal of the London Mathematical Society

Year:

2016

Language:

english

File:

PDF, 374 KB

english, 2016

48

Plasmon Resonance with Finite Frequencies: a Validation of the Quasi-static Approximation for Diametrically Small Inclusions

Ando, Kazunori, Kang, Hyeonbae, Liu, Hongyu

Journal:

SIAM Journal on Applied Mathematics

Year:

2016

Language:

english

File:

PDF, 351 KB

english, 2016

49

$\overline\partial\sb b$-equations on certain unbounded weakly pseudo-convex domains

Journal:

Transactions of the American Mathematical Society

Year:

1989

Language:

english

File:

PDF, 1.58 MB

english, 1989

50

Mathematical Methods in Elasticity Imaging () || Chapter Two. Elasticity Equations with High Contrast Parameters

Kang, Hyeonbae, Lee, Hyundae, Wahab, Abdul, Ammari, Habib, Bretin, Elie, Garnier, Josselin

Year:

2015

Language:

english

File:

PDF, 236 KB

english, 2015