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2013 Fiscal Year Final Research Report

Research in problems related to the Radon transform

Research Project

  • PDF
Project/Area Number 22540214
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Basic analysis
Research Institution防衛大学校(総合教育学群、人文社会科学群、応用科学群、電気情報学群及びシステム工学群)

Principal Investigator

TAKIGUCHI Takashi  防衛大学校(総合教育学群、人文社会科学群、応用科学群、電気情報学群及びシステム工, 総合教育学群, 准教授 (50523023)

Project Period (FY) 2010-04-01 – 2014-03-31
KeywordsRadon変換 / 非破壊検査 / 超局所解析 / 逆問題 / 認証理論
Research Abstract

With support of this research fund, I have organized four conferenceses in inverse problems and microlocal analysis, which promoted research exchanges between the reserchers in inverse problems and in microlocal analysis, which also established the industry-academia collaboration system between industry, mathematics and engineering in order to develop new technologies in non-destructive testings.
Throughout this research, we have created new research tasks to develop new technologies in non-destructive testings which will be very important for revitalization of obsolescent infrastructures. We have achieved several partial results on these research tasks from the viewpoints of practice and theory.

  • Research Products

    (18 results)

All 2014 2013 2012 2011 2010

All Journal Article (4 results) (of which Peer Reviewed: 2 results) Presentation (14 results) (of which Invited: 7 results)

  • [Journal Article] An inverse problem to detect an inclusion in a homogeneous medium by the Dirichlet to Dirichlet data for the heat equation2014

    • Author(s)
      Takashi Takiguchi and Ryusei Yamashita
    • Journal Title

      MI Lecute Note

      Volume: 54 Pages: 77-93

    • URL

      http://gcoe-mi.jp/temp/publish/780e338a272694d92babed9b2fa35e0c.pdf

  • [Journal Article] On the Structure of Hyperfunctions and Ultradistributions2013

    • Author(s)
      Takashi Takiguchi
    • Journal Title

      数理解析研究所講究録

      Volume: 1861 Pages: 71-82

    • URL

      http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1861-08.pdf

  • [Journal Article] Non-uniqueness of the reconstruction for connected and simply connected sets2012

    • Author(s)
      Takashi Takiguchi
    • Journal Title

      Acta Matematica Scientia

      Volume: 32B Pages: 1637-1646

    • Peer Reviewed
  • [Journal Article] Unique continuation of microlocally analytic functions and their structure2012

    • Author(s)
      Takashi Takiguchi
    • Journal Title

      Complex Variables and Elliptic Equations

      Volume: (published on-line first)

    • DOI

      10.1080/17476933.2012.744402

    • Peer Reviewed
  • [Presentation] How G.N. Hounsfield practicalized the computerized tomography2014

    • Author(s)
      Takashi Takiguchi
    • Organizer
      復旦大学数学科学学院学術報告会
    • Place of Presentation
      復旦大学(中華人民共和国)
    • Year and Date
      2014-03-11
    • Invited
  • [Presentation] An inverse problem of the heat equation for practical application2014

    • Author(s)
      Takashi Takiguchi
    • Organizer
      Colloquium at Sogang University
    • Place of Presentation
      Sogang University (大韓民国)
    • Year and Date
      2014-02-06
    • Invited
  • [Presentation] How the computerized tomography was practicalized2014

    • Author(s)
      Takashi Takiguchi
    • Organizer
      日本数式処理学会東北地区合同分科会
    • Place of Presentation
      仙台カルチャーセンター
    • Year and Date
      2014-01-26
    • Invited
  • [Presentation] An inverse problem to detect an inclusion in a homogeneous medium by the Dirichlet to Dirichlet data for the heat equation2013

    • Author(s)
      Takashi Takiguchi
    • Organizer
      Inverse problems for practice, the present and the future
    • Place of Presentation
      九州大学IMI研究所
    • Year and Date
      2013-09-04
  • [Presentation] Non-destructive testing for mixed materials of the two kinds and integral geometry2013

    • Author(s)
      Takashi Takiguchi
    • Organizer
      ミニシンポジウム「建造物の構造解析における非破壊検査と逆問題」
    • Place of Presentation
      防衛大学校
    • Year and Date
      2013-07-11
  • [Presentation] Remarks on the representation of the vortex sheets in perfect fluid2013

    • Author(s)
      Takashi Takiguchi
    • Organizer
      Recent development of theory of analytic functionals and releated topics
    • Place of Presentation
      北海道大学
    • Year and Date
      2013-03-08
  • [Presentation] Vortex sheets in perfect fluid and hyperfunctions2013

    • Author(s)
      Takashi Takiguchi
    • Organizer
      Applied Analysis Seminar
    • Place of Presentation
      Ewha Womens University (大韓民国)
    • Year and Date
      2013-02-14
    • Invited
  • [Presentation] On the structure of hyperfunctions and ultradistributions2012

    • Author(s)
      Takashi Takiguchi
    • Organizer
      Recent development of microlocal analysis and asymptotic analysis
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2012-10-24
  • [Presentation] Structure for subclasses of hyperfunctions and unique continuation property2012

    • Author(s)
      Takashi Takiguchi
    • Organizer
      埼玉大学理学部数学教室談話会
    • Place of Presentation
      埼玉大学理学部数学教室
    • Year and Date
      2012-10-19
    • Invited
  • [Presentation] On Fourier hyperfunctions and ultradistributions2012

    • Author(s)
      Takashi Takiguchi
    • Organizer
      Microlocal Analysis, Differential Equations and Related Topics
    • Place of Presentation
      東京大学大学院数理科学研究科
    • Year and Date
      2012-08-02
  • [Presentation] On uniqueness problems for the Radon transform2012

    • Author(s)
      Takashi Takiguchi
    • Organizer
      Colloquium at KAIST
    • Place of Presentation
      KAIST (大韓民国)
    • Year and Date
      2012-02-03
    • Invited
  • [Presentation] On the representation of the vortex sheets in fluid mechanics2012

    • Author(s)
      Takashi Takiguchi
    • Organizer
      Colloquium at Sogang University
    • Place of Presentation
      Sogang University (大韓民国)
    • Year and Date
      2012-02-02
    • Invited
  • [Presentation] Unique continuation of microlocally analytic functions and their structure2011

    • Author(s)
      Takashi Takiguchi
    • Organizer
      Microlocal Analysis and Related Topics
    • Place of Presentation
      埼玉大学東京ステーションカレッジ
    • Year and Date
      2011-12-11
  • [Presentation] 超局所一意接続性と超函数の構造について2010

    • Author(s)
      Takashi Takiguchi
    • Organizer
      日本数学会2010年度秋季総合分科会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-09-23

URL: 

Published: 2015-07-16  

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