MASARU IKEHATA

Last Updated :2023/01/05

Affiliations, Positions
Graduate School of Advanced Science and Engineering, Professor
Web Site
E-mail
ikehatahiroshima-u.ac.jp

Basic Information

Major Professional Backgrounds

  • 2013/04/01, 2020/03/31, Hiroshima University, Institute of Engineering, Professor
  • 2020/04/01, Hiroshima University, Graduate School of Advanced Science and Engineering, Professor

Academic Degrees

  • Doctor of Science, Tokyo Metropolitan University
  • Master of Science, Tokyo Metropolitan University

Research Fields

  • Mathematical and physical sciences;Mathematics;Mathematical analysis

Research Keywords

  • inverse problems, inverse obstacle scattering, enclosure method, probe method, inverse boundary value problems, partial differential equations, non destructive testing,

Educational Activity

Course in Charge

  1. 2022, Undergraduate Education, 1Term, Applied Mathematics II
  2. 2022, Undergraduate Education, 2Term, Applied Mathematics III
  3. 2022, Undergraduate Education, 4Term, Engineering Mathematics C
  4. 2022, Graduate Education (Master's Program) , 1Term, Special Exercises on Electorical, Systems, and Control Engineering A
  5. 2022, Graduate Education (Master's Program) , 2Term, Special Exercises on Electorical, Systems, and Control Engineering A
  6. 2022, Graduate Education (Master's Program) , 3Term, Special Exercises on Electorical, Systems, and Control Engineering B
  7. 2022, Graduate Education (Master's Program) , 4Term, Special Exercises on Electorical, Systems, and Control Engineering B
  8. 2022, Graduate Education (Master's Program) , Academic Year, Special Study on Electorical, Systems, and Control Engineering
  9. 2022, Graduate Education (Master's Program) , 2Term, Mathematics D
  10. 2022, Graduate Education (Doctoral Program) , Academic Year, Special Study on Electorical, Systems, and Control Engineering

Research Activities

Academic Papers

  1. Revisiting the probe and enclosure methods, Inverse Problems, 38(7), 075009(33pp), 20220701
  2. Reconstruction of a source domain from the Cauchy data: II. Three-dimensiona case, Inverse Problems, 37(12), 125004 (29pp), 20211102
  3. The enclosure method for inverse obstacle scattering over a finite time interval: VI. Using shell-type initial data, J. Inverse Ill-Posed Probl., 28(3), 349-366, 20200601
  4. The enclosure method for the heat equation using time-reversal invariance for a wave equation, J. Inverse Ill-Posed Probl., 28(1), 93-104, 20200201
  5. Prescribing a heat flux coming from a wave equation, J. Inverse ILL-Posed Probl., 27(5), 731-744, 20191001
  6. ON FINDING A BURIED OBSTACLE IN A LAYERED MEDIUM VIA THE TIME DOMAIN ENCLOSURE METHOD IN THE CASE OF POSSIBLE TOTAL REFLECTION PHENOMENA, INVERSE PROBLEMS AND IMAGING, 13(5), 959-981, 201910
  7. ON FINDING THE SURFACE ADMITTANCE OF AN OBSTACLE VIA THE TIME DOMAIN ENCLOSURE METHOD, INVERSE PROBLEMS AND IMAGING, 13(2), 263-284, 20190400
  8. Detecting a hidden obstacle via the time domain enclosure method. A scalar wave case, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 42(5), 1413-1431, 20190330
  9. The enclosure method for inverse obstacle scattering over a finite time interval: V. Using time-reversal invariance, JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 27(1), 133-149, 201902
  10. Revealing cracks inside conductive bodies by electric surface measurements, INVERSE PROBLEMS, 35(2), 20190200
  11. ON FINDING A BURIED OBSTACLE IN A LAYERED MEDIUM VIA THE TIME DOMAIN ENCLOSURE METHOD, INVERSE PROBLEMS AND IMAGING, 12(5), 1173-1198, 201810
  12. On finding a cavity in a thermoelastic body using a single displacement measurement over a finite time interval on the surface of the body, JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 26(3), 369-394, 201806
  13. ASYMPTOTIC BEHAVIOR OF THE SOLUTIONS FOR THE LAPLACE EQUATION WITH A LARGE SPECTRAL PARAMETER AND THE INHOMOGENEOUS ROBIN TYPE CONDITIONS, OSAKA JOURNAL OF MATHEMATICS, 55(1), 117-163, 201801
  14. The enclosure method for inverse obstacle scattering over a finite time interval: IV. Extraction from a single point on the graph of the response operator, J. Inverse Ill-Posed Probl., 25(6), 747-761, 20171201
  15. New development of the enclosure method for inverse obstacle scattering, Inverse Problems and Computational Mechanics, 2, 123-147, 20161205
  16. Trusted frequency region of convergence for the enclosure method in thermal imaging, JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 25(1), 81-97, 201702
  17. A remark on finding the coefficient of the dissipative boundary condition via the enclosure method in the time domain, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 40(4), 915-927, 20170315
  18. ON FINDING AN OBSTACLE WITH THE LEONTOVICH BOUNDARY CONDITION VIA THE TIME DOMAIN ENCLOSURE METHOD, INVERSE PROBLEMS AND IMAGING, 11(1), 99-123, 201702
  19. The enclosure method for an inverse problem arising from a spot welding, Mathematical Methods in the Applied Sciences, 39(13), 3565-3575, 20160915
  20. THE ENCLOSURE METHOD FOR INVERSE OBSTACLE SCATTERING USING A SINGLE ELECTROMAGNETIC WAVE IN TIME DOMAIN, INVERSE PROBLEMS AND IMAGING, 10(1), 131-163, 20160200
  21. On finding an obstacle embedded in the rough background medium via the enclosure method in the time domain, INVERSE PROBLEMS, 31(8), 20150724
  22. AN INVERSE PROBLEM FOR A THREE-DIMENSIONAL HEAT EQUATION IN THERMAL IMAGING AND THA ENCLOSURE METHOD, INVERSE PROBLEMS AND IMAGING, 8(4), 1073-1116, 201411
  23. Analytical methods for extracting discontinuity in inverse problems: The probe method after 10 years, SUGAKU EXPOSITIONS, 26(1), 1-28
  24. Extracting the geometry of an obstacle and a zeroth-order coefficient of a boundary condition via the enclosure method using a single reflected wave over a finite time interval, INVERSE PROBLEMS, 30(4), 201404
  25. Estimates of the integral kernels arising from inverse problems for a three-dimensional heat equation in thermal imaging, KYOTO JOURNAL OF MATHEMATICS, 54(1), 1-50, 2014
  26. The enclosure method for inverse obstacle scattering problems with dynamical data over a finite time interval: III. Sound-soft obstacle and bistatic data, INVERSE PROBLEMS, 29(8), 20130731

Invited Lecture, Oral Presentation, Poster Presentation

  1. Exponential Function and Inverse Problems, Masaru Ikehata, 2022 Construction Subcommittee Regular Meeting/Lecture, The Institute of Professional Engineers, Japan, 2022/06/18, With Invitation, Japanese, The Institute of Professional Engineers, Hiroshima, Japan, online, Hiroshima, Japan
  2. The enclosure method for inverse obstacle scattering in time domain, Masaru Ikehata, 7th International Conference ``Inverse Problems:Modeling and Simulation'', 2014/05/28, With Invitation, English, Oludeniz-Fethiye, Turkey
  3. Some recent results on inverse obstacle scattering in time domain using the enclosure method, Masaru Ikehata, Inverse problems of differential equations and related topics, 2015/01/28, With Invitation, English, RIMS, Kyoto
  4. The enclosure method for inverse obstacle scattering using a single electromagnetic wave in time domain, Masaru Ikehata, Applied Inverse Problem Conference AIPC 2015, 2015/05/28, With Invitation, English, Helsinki, Finland
  5. The enclosure method for inverse obstacle scattering in time domain, Masaru Ikehata, Workshop on Analysis in Kagurazaka 2016, 2016/01/22, With Invitation, English, The Tokyo University of Science, Kagurazaka, Tokyo
  6. The enclosure method for the Maxwell system in time domain, Masaru Ikehata, Geometry of solutions of PDE's and related inverse problems, 2016/10/06, With Invitation, English, Tohoku University, Aoba, Sendai, Tohoku University
  7. The probe and enclosure methods for inverse obstacle scattering problems governed by partial differential equations, Masaru Ikehata, ICUB Talks:Exact Sciences Section, 2016/11/10, With Invitation, English, ICUB, Unv. Bucharest, Bucharest, Romania
  8. The enclosure method for inverse obstacle scattering over a finite time interval:IV. Extraction from a single point on the graph of the response operator, Masaru Ikehata, Inverse problems for partial differential equations, 2017/01/26, With Invitation, English, RIMS, Kyoto, Japan
  9. On finding an obstacle embedded in the rough background medium via the enclosure method in the time domain, Masaru Ikehata, Applied Inverse Problems 2017, 2017/06/02, With Invitation, English, Zhejiang University, Hangzhou, China
  10. Detection and range estimation of a hidden object using the time domain enclosure method, Masaru Ikehata, Geometry and Inverse Problems in cooperation with A3 FORESIGHT PROGRAM, 2017/10/06, With Invitation, English, Tohoku University, Sendai, Japan
  11. Recent topics on the time domain enclosure method, Masaru Ikehata, Inverse problems for partial differential equations in honor of Professor Masaru Ikehata on the occasion of his 60th birthday, 2018/08/27, With Invitation, English, Mishio Kawashita, Samuli Siltanen, Takanori Ide, Hironichi Itou, Tokyo University of Science, Tokyo
  12. Recent developments of the time domain enclosure method for the Maxwell system, Masaru Ikehata, RIMS Workshop on Inverse problems for partial differential equations and related areas, 2019/01/16, With Invitation, English, RIMS, Kyoto Univ., Kyoto
  13. On finding a cavity in a thermoelastic body using a single displacement measurement over a finite time interval on the surface of the body, Masaru Ikehata, 9th International Congress on Industrial and Applied Mathematics, 2019/07/19, With Invitation, English, Valencia, Spain
  14. Prescribing a heat flux coming from a wave equation, Masaru Ikehata, The XIII international scientific conference and young scientist school ``Theory and Numerics of Inverse and Ill-posed Problems'' online April 16, 2021, Akademgorodok, Novosibirsk, Russia., 2021/04/16, With Invitation, English, 2021/04/16, With Invitation, English
  15. The time domain enclosure method for an inverse obstacle problem governed by the Maxwell system, Masaru IKEHATA, DAYS on DIFFRACTION 2021, 2021/06/02, With Invitation, English, the Steklov Mathematical Institute, St. Petersburg, Russia.
  16. On finding a penetrable obstacle via the time domain enclosure method for the Maxwell system, Masaru IKEHATA, Eurasian Conference on Applied Mathematics-2021, 2021/12/16, With Invitation, English, Mathematical Center in Akademgorodok, Akademgorodok, Novosibirsk, Russia
  17. On finding a penetrable obstacle via the time domain enclosure method for the Maxwell system, Masaru IKEHATA, RIMSWorkshop``Theory and practice in inverse problems", 2022/01/06, With Invitation, English, RIMS, Kyoto University,, Kyoto, Japan

Awards

  1. 2021/11/24, IOP Trusted Reviewer, Institute of Physics, IOP Publishing, IOP Trusted REviewer

Social Activities

Organizing Academic Conferences, etc.

  1. Workshop on PDEs in Direct and Inverse Problems 2019, member of organizers, 2019/11, 2019/11
  2. Geometry of solutions of PDE's and its related inverse problems, organizing comittee, 2016/10, 2016/10

History as Peer Reviews of Academic Papers

  1. Journal of inverse and ill-posed problems, Editor, Editorial Board Member