Inverse Problems and Related Topics

The second joint seminar between Japan and Korea

January 11 (Thursday) - January 13 (Saturday), 2001

Seoul National University,  Seoul,  Korea

Sangsan Mathematical Building Room 406

 

 

 

Five Introductory Level Talks

 

  1. 1/11 (Thur)  9:40-10:30  Ra, Jung-Woong (KAIST)
     Problems in Inverse Scattering - IIIposedness, Resolution, Local Minima, and Uniqueness
  2. 1/11 (Thur)  2:00-2:50  Saitoh, Saburou (Gunma University)
    The applications of the reproducing kernel theory to inverse problems
  3. 1/12 (Fri)  9:30-10:20  Yamamoto, Masahiro(The University of Tokyo
    Inverse hyperbolic problem; uniqueness and stability
  4. 1/12 (Fri) 2:00-2:50 Seo, Jin Keun(Yonsei University)
    Introduction to Electrical Impedance Tomography
  5. 1/13(Sat) 9:30-10: 20 Onishi, Kazuei(Ibaraki University, Japan)
    Numerical methods for inverse problems based on variational calculus

 

 

 

January 11, Thursday

 

Morning session (Thursday)

 

9:30-9:40 Opening                                                                                                                          Abstract

 

9:40-10:30 (Introductory Talk) Ra, Jung-Woong(KAIST)                                                                  

Problems in Inverse Scattering - IIIposedness, Resolution, Local Minima, and Uniqueness

 

10:50-11:20 Mochizuki, Kiyoshi(Tokyo Metropolitan University)                             3

Inverse scattering for a small nonselfadjoint perturbation of the wave equation

 

11:20-11:50 Kwon, Ohin(Yonsei University) [Jeong-Rock Yoon, Jin Keun Seo, and Eung Je Woo] 4-5

Magnetic Resonance Electrical Impedance Tomography             

 

11:50-12:20 Kawashita, Wakako(University of Tsukuba) [with Mishio Kawashita]                                        6

Energy propagation of the Rayleigh waves in 3-dimensional half space

 

 

Afternoon Session (Thursday)

 

2:00-2:50 (Introductory Talk) Saitoh, Saburou(Gunma University)                                                   

The applications of the reproducing kernel theory to inverse problems

 

3:10-3:40 Kim, Dai-Gyoung(Hanyang University)                                                                                           7-9

Besov-norm Regularization and Computational Algorithm for Image Restoration

 

3:40-4:10 Shiro Kubo(Osaka University )                                                                                                        10

Crack Identification by Passive Electric Potential CT Method Using Piezoelectric Material

 

4:20-4:50 Shirota, Kenji(Ibaraki University)                                                                                            11-12

A numerical method for the problem of coefficient identification

January 12, Friday

 

Morning session (Friday)

 

9:30-10:20 (Introductory Talk) Yamamoto, Masahiro(The University of Tokyo)                           13

Inverse hyperbolic problem; uniqueness and stability

 

10:40-11:10 Trooshin, Igor(Precision Mechanics & Control Inst. of Russian Academy Of Sci.)      14

Inverse Problem for Interior Spectral Data of the Sturm-Liouville Operator

 

11:10-11:40 Yuusuke, Iso(Kyoto University)

Numerical analysis for the Cauchy-Riemann equation by multi precisoon computaion

 

11:50-12:20 Yun, KiHyun (Seoul National University) [with Hyeonbae Kang, Kiwoon Kwon]   15

Recovery of an Inhomogeneity in an Elliptic Equation

 

 

Afternoon session (Friday)

 

2:00-2:50 (Introductory Talk) Seo, Jin Keun(Yonsei University)                                                                  16-17

Introduction to Electrical Impedance Tomography

 

3:00-3:30 Soga, Hideo(Ibaraki University) [with Mishio Kawashita]                                                    18

Properties of Elastic Symbols and Construction of Solutions of the Dirichlet Problem

 

3:30-4:00 Ikehata, Masaru(Gunma University)                                                                                            19

On reconstruction from a partial knowledge of the Neumann-to-Dirichlet operator

 

4:20-4:50 Hon, Yiu-chung(City University of Hong Kong) [with T. Wei]                                                    20

Backus-Gilbert Algorithm for Cauchy Problem

 

4:50-5:20 Choi, Jongsung(Univ. of Tokyo)                                                                                            21

Inverse problem for a parabolic equation with space-periodic boundary conditions by Carleman estimate

 

 

6:00-8:00 Banquet at Dongwon Tuna House (in Campus)

 

 

 

 

January 13 (Saturday)

 

Morning session

 

9:30-10: 20 (Introductory Talk) Onishi, Kazuei(Ibaraki University, Japan)

Numerical methods for inverse problems based on variational calculus

 

10:40-11:10 Tanuma, Kazumi(Osaka Kyoiku University) [with Gen Nakamura]                                        22

Reconstruction of Conductivity and its Derivatives at the Boundary from the Dirichlet to Neumann Map

 

11:10-11:40 Yoon, Jeong-Rock(KAIST) [with Ohin Kwon, Jin Keun Seo]                                                     23-24

Towards the detection of breast cancer via EIT

 

 

 

1:00 Tour to Insadong (Antique Street) and the Secret Garden