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2009 Fiscal Year Self-evaluation Report

Shape of the solutions and asymptotic analysis for the diffusive equations

Research Project

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Project/Area Number 19340036
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Global analysis
Research InstitutionTohoku University

Principal Investigator

ISHIGE Kazuhiro  Tohoku University, 大学院・理学研究科, 准教授 (90272020)

Project Period (FY) 2007 – 2010
Keywords熱方程式 / 最大点挙動 / 等高面 / 大域的挙動 / 爆発問題
Research Abstract

線形拡散方程式の解の微分係数の減衰の速さ,最大点の挙動,等高面の形状などの解の形状解析を行い,その後の半線形拡散方程式の爆発問題などの非線形現象の研究に応用する。

  • Research Products

    (5 results)

All 2010 2009 2008 2007

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

  • [Journal Article] Convexity breaking of the free boundary for porous medium equations2010

    • Author(s)
      Kazuhiro Ishige, Paolo Salani
    • Journal Title

      Interfaces Free Bound 12巻(印刷中)

    • Peer Reviewed
  • [Journal Article] The decay of the solutions for the heat equation with a potential2009

    • Author(s)
      Kazuhiro Ishige, Michinori Ishiwata, Tatsuki Kawakami
    • Journal Title

      Indiana Univ.Math.J. 58巻

    • Peer Reviewed
  • [Journal Article]2009

    • Author(s)
      Kazuhiro Ishige, Yoshitsugu Kabeya
    • Journal Title

      Adv.Differential Equations 14巻

    • Peer Reviewed
  • [Journal Article] Is quasi-concavity preserved by heat flow?2008

    • Author(s)
      Kazuhiro Ishige, Paolo Salani
    • Journal Title

      Arch.Math. 90巻

    • Peer Reviewed
  • [Journal Article] Large time behaviors of hot spots for the heat equation with a potential2007

    • Author(s)
      Kazuhiro Ishige, Yoshitsugu Kabeya
    • Journal Title

      J.Differential Equations 244巻

    • Peer Reviewed

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

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