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2008 Fiscal Year Self-evaluation Report

Hamilton flow and partial differential equation

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
Research Abstract

(1) 波動方程式およびキルヒホフ方程式に対する初期値問題の時間大域解の存在定理さらに散乱問題の研究。
(2) ストークス方程式に対する初期値問題の解のL^p-L^q評価を導くのが目標。
(3) p-ラプラシアンに対応する波動方程式およびキルヒホフ方程式に対する初期値問題の時間大域解の存在定理さらに散乱問題の研究。

  • Research Products

    (10 results)

All 2009 2008 2006

All Journal Article (4 results) (of which Peer Reviewed: 4 results) Presentation (6 results)

  • [Journal Article] Scattering for multidimensional Kirchhoff equations2009

    • Author(s)
      梶谷邦彦
    • Journal Title

      Jounal of Mathematical Society (投稿中)

    • Peer Reviewed
  • [Journal Article] Time global solutions to the Cauchy problem for multidimensional perturbed Kirchoff equations, Phase Space Analysis of Partial Differential Equations2009

    • Author(s)
      梶谷邦彦
    • Journal Title

      Edited by Antonio Bove, Springer imprint Birkhauser Boston

      Pages: 138-149

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

    • Author(s)
      梶谷邦彦
    • Journal Title

      Math. Soc. Vol.60, No.3

      Pages: 665-694

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

    • Author(s)
      梶谷邦彦
    • Journal Title

      Hyperbolic Problem and Regularity questions Trends in Mathematics (Birkhauser)

      Pages: 121-138

    • Peer Reviewed
  • [Presentation] ストークス方程式に対する混合問題2009

    • Author(s)
      梶谷邦彦
    • Organizer
      早稲田応用解析シンポシウム
    • Place of Presentation
      熱海
    • Year and Date
      2009-03-03
  • [Presentation] ストークス方程式に対する混合問題の会の評価2009

    • Author(s)
      梶谷邦彦
    • Organizer
      東海大学解析学シンポジウム
    • Place of Presentation
      東海大学
    • Year and Date
      2009-03-01
  • [Presentation] Scattering for multidimensional Kirchohh equations2008

    • Author(s)
      梶谷邦彦
    • Organizer
      Poincare Seminaire
    • Place of Presentation
      フランス パリ ポアンカレ研究所
    • Year and Date
      2008-12-17
  • [Presentation] キルヒホフ方程式に対する初期値問題の時間大域解2008

    • Author(s)
      梶谷邦彦
    • Organizer
      東海大学解析学シンポジウム
    • Place of Presentation
      東海大学
    • Year and Date
      2008-11-01
  • [Presentation] Scattering for Kirchohh type equations2008

    • Author(s)
      梶谷邦彦
    • Organizer
      Sumposium of P.D.E.,of Univ. of Cagriali
    • Place of Presentation
      イタリア カリアリ大学
    • Year and Date
      2008-09-24
  • [Presentation] Time global solutions to the Cauchy problem for Kirchohh equations2008

    • Author(s)
      梶谷邦彦
    • Organizer
      Seminar of Analysis of Univ. of Trieste
    • Place of Presentation
      イタリア トリエステ大学
    • Year and Date
      2008-09-18

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Published: 2010-06-11   Modified: 2016-04-21  

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