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Method of analysis for scattering of elastic surface waves on boundaries with corners

Research Project

Project/Area Number 19540183
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Basic analysis
Research InstitutionHiroshima University

Principal Investigator

KAWASHITA Mishio  Hiroshima University, 大学院・理学研究科, 准教授 (80214633)

Co-Investigator(Kenkyū-buntansha) MORITA Takehiko  大阪大学, 大学院・理学研究科, 教授 (00192782)
IKEHATA Ryo  広島大学, 大学院・教育学研究科, 准教授 (10249758)
SOGA Hideo  茨城大学, 教育学部, 教授 (40125795)
Project Period (FY) 2007 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2008: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2007: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywords散乱理論 / 弾性表面波 / 角を持つ領域 / 漸近解析
Research Abstract

The following research themes which seemed to be related to the present research project were investigated :
(1) Study for the inverse boundary value problems for the heat equation in multi- dimensional space.
(2) On the decay estimates of the local energy for the solutions of the wave equations. For these subjects, new results were obtained. These were summarized as research papers.
About the main subject of the research project, the results expected in the original plan were not obtained. Even in the case that there is no corner, previous studies had to be rearranged and reconsidered. About this case, as a result, complete results were obtained. In any case, it must be admitted that this research task was a remarkable adventure.

Report

(4 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report
  • 2007 Annual Research Report
  • Research Products

    (9 results)

All 2010 2009 2007 Other

All Journal Article (6 results) (of which Peer Reviewed: 6 results) Presentation (3 results)

  • [Journal Article] The enclosure method for the heat equations2009

    • Author(s)
      M. Ikehata, M. Kawashita
    • Journal Title

      Inverse problem 25

      Pages: 75005-75005

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] The enclosure method for the heat equations2009

    • Author(s)
      M.Ikehata, M.Kawashita
    • Journal Title

      Inverse problem 25

      Pages: 75005-75005

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Singular support of the scattering kernel for the Rayleigh wave in perturbed half-spaces

    • Author(s)
      M. Kawashita, H. Soga
    • Journal Title

      Methods and Applications of Analysis (掲載決定)

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Weighted energy estimates for wave equations in exterior domains

    • Author(s)
      M. Kawashita, H. Sugimoto
    • Journal Title

      orum Math (掲載決定)

    • NAID

      120005147879

    • Related Report
      2009 Final Research Report
    • Peer Reviewed
  • [Journal Article] Singular support of the scattering kernel for the Rayleigh wave in perturbed half-spaces

    • Author(s)
      M.Kawashita, H.Soga
    • Journal Title

      Methods and Applications of Analysis (掲載決定)

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Weighted energy estimates for wave equations in exterior domains

    • Author(s)
      M.Kawashita, H.Sugimoto
    • Journal Title

      Forum Mathematicum (掲載決定)

    • NAID

      120005147879

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Presentation] Scattering for the Rayleigh waves in perturbed half-spaces2010

    • Author(s)
      Kawashita Mishio
    • Organizer
      AMS 2010 Spring Southeastern Sectional Meeting
    • Place of Presentation
      Lexington, KY, USA
    • Year and Date
      2010-03-27
    • Related Report
      2009 Final Research Report
  • [Presentation] Scattering for the Rayleigh Waves in Perturbed Half-Spaces2010

    • Author(s)
      Mishio Kawashita
    • Organizer
      AMS 2010 Spring Southeastern Sectional Meeting
    • Place of Presentation
      Lexington, KY、USA
    • Year and Date
      2010-03-27
    • Related Report
      2009 Annual Research Report
  • [Presentation] Rayleigh波の散乱逆問題について2007

    • Author(s)
      川下美潮
    • Organizer
      2007年度日本数学会秋季総合分科会
    • Place of Presentation
      東北大学
    • Year and Date
      2007-09-24
    • Related Report
      2009 Final Research Report 2007 Annual Research Report

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Published: 2007-04-01   Modified: 2016-04-21  

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