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2009 Fiscal Year Final Research Report

Hamilton flows and Partial Differential Equations

Research Project

  • PDF
Project/Area Number 18540158
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Basic analysis
Research InstitutionUniversity of Tsukuba

Principal Investigator

KAJITANI Kunihiko  University of Tsukuba, 名誉教授 (00026262)

Project Period (FY) 2006 – 2009
Keywordsキルヒホフ方程式 / 波動方程式 / 大域解 / 散乱問題 / 解の減衰
Research Abstract

Under the non-trapping condition we proved that there exist the global solution of the Cauchy problem for Kirchhoff equations and moreover that the wave operator and the scattering operator for perturbed Kirchhoff equations.

  • Research Products

    (18 results)

All 2010 2009 2008 2007 2006

All Journal Article (5 results) (of which Peer Reviewed: 5 results) Presentation (13 results)

  • [Journal Article] Time global solutions to the Cauchy problem for multidimensional perturbed Kirchhoff equations2009

    • Author(s)
      K. Kajitani
    • Journal Title

      Phase Space Analysis of Partial Differential Equations, Edited by Antonio Bove, Springer imprint Birkhauser Boston

      Pages: 138-149

    • Peer Reviewed
  • [Journal Article] Scattering for one dimensional perturbed Kirchhoff equations2008

    • Author(s)
      K. Kajitani
    • Journal Title

      Journal Mathematical Society of Japan vol. 60

      Pages: 665-693

    • Peer Reviewed
  • [Journal Article] Time decay estimates of solutions for wave equations with variable coefficients2006

    • Author(s)
      K. Kajitani
    • Journal Title

      Hyperbolic Problem and Regularity questions, Trend in Mathematics, Birkhauser, Verlag Basel/Switzerland

      Pages: 121-138

    • Peer Reviewed
  • [Journal Article] On the existence in Gevrey classes of local solutions to the Cauchy problem nonlinear hyperbolic systems with Holder continuous coefficients2006

    • Author(s)
      K. Kajitani, Yuzawa
    • Journal Title

      Annali dell'Universita di Ferrara 55

      Pages: 303-315

    • Peer Reviewed
  • [Journal Article] The Cauchy problem for hyperbolic systems with Holder contiuous coefficients with respect to the time variables2006

    • Author(s)
      K. Kajitani, Yuzawa
    • Journal Title

      Ann.Scuola Norm.Sup.Pisa Cl.Sci. vol. V

      Pages: 465-482

    • Peer Reviewed
  • [Presentation] L^p estimates of solutions of mixed problem for heat equations2010

    • Author(s)
      K. Kajitani
    • Organizer
      東海大学シンポジウム
    • Place of Presentation
      東海大学(招待講演)
    • Year and Date
      2010-03-11
  • [Presentation] L^p estimates of solutions of mixed problem for heat equations2009

    • Author(s)
      K. Kajitani
    • Organizer
      ポアンカレ研究所解析セミナー
    • Place of Presentation
      フランス パリ(招待講演)
    • Year and Date
      2009-12-18
  • [Presentation] Mixed problem for Stokes equations2009

    • Author(s)
      K. Kajitani
    • Organizer
      東海大学シンポジウム
    • Place of Presentation
      東海大学(招待講演)
    • Year and Date
      2009-03-10
  • [Presentation] Scattering for multidimensional Kirchhoff equations2008

    • Author(s)
      K. Kajitani
    • Organizer
      ポアンカレ研究所解析セミナー
    • Place of Presentation
      フランス パリ(招待講演)
    • Year and Date
      2008-12-17
  • [Presentation] Scattering for perturbed Kirchhoff equations2008

    • Author(s)
      K. Kajitani
    • Organizer
      東海大学シンポジウム
    • Place of Presentation
      東海大学(招待講演)
    • Year and Date
      2008-11-01
  • [Presentation] Time global solutions of Kirchhoff equations2008

    • Author(s)
      K. Kajitani
    • Organizer
      トリエステ大学解析セミナー
    • Place of Presentation
      イタリア, トリエステ(招待講演)
    • Year and Date
      2008-09-18
  • [Presentation] Time global solutions to the Cauchy problem for perturbed Kirchhoff equations2007

    • Author(s)
      K. Kajitani
    • Organizer
      ポアンカレ研究所解析セミナー
    • Place of Presentation
      フランス パリ(招待講演)
    • Year and Date
      2007-12-19
  • [Presentation] 多次元キルヒホフ方程式初期値問題の時間大域解2007

    • Author(s)
      K. Kajitani
    • Organizer
      稲田大応用解析セミナー
    • Place of Presentation
      早稲田大学(招待講演)
    • Year and Date
      2007-12-07
  • [Presentation] Time global solutions to the Cauchy problem for perturbed Kirchhoff equations2007

    • Author(s)
      K. Kajitani
    • Organizer
      シエナ大学シンポジウム
    • Place of Presentation
      イタリア, シエナ(招待講演)
    • Year and Date
      2007-10-12
  • [Presentation] Scattering theory for one dimensional perturbed Kirchhoff2007

    • Author(s)
      K. Kajitani
    • Organizer
      東海大学シンポジウム
    • Place of Presentation
      東海大学(招待講演)
    • Year and Date
      2007-03-09
  • [Presentation] The Cauchy problem for one dimensional Kirchhoff equations2006

    • Author(s)
      K. Kajitani
    • Organizer
      ポアンカレ研究所解析セミナー
    • Place of Presentation
      ランス パリ(招待講演)
    • Year and Date
      2006-12-13
  • [Presentation] The global solutions of the Cauchy problem for one dimensional perturbed Kichhoff equations2006

    • Author(s)
      K. Kajitani
    • Organizer
      東海大学シンポジウム
    • Place of Presentation
      東海大学(招待講演)
    • Year and Date
      2006-10-29
  • [Presentation] Scattering for one dimensional Kirchhoff equations2006

    • Author(s)
      K. Kajitani
    • Organizer
      ピサ大学解析セミナー
    • Place of Presentation
      イタリア, ピサ(招待講演)
    • Year and Date
      2006-09-08

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Published: 2011-06-18   Modified: 2016-04-21  

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