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An analysis on time global properties of solutions to nonlinear wave equations

Research Project

Project/Area Number 24740106
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Global analysis
Research InstitutionToyama Prefectural University

Principal Investigator

KAZUYUKI Doi  富山県立大学, 工学部, 講師 (80608331)

Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywords非線型波動 / 時間大域解 / 有限時刻爆発
Outline of Final Research Achievements

We studied time global properties of solutions for nonlinear disspersive and wave equations, respectively.
For nonlinear dispersive equations, we investigated time global properties of special solutions with a spacial function as the initial data.
For nonlinear wave equations, we presented an improvement of the proof on the existence of small data solutions with the null condition given by Yokoyama in 2000.

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (5 results)

All 2013 Other

All Journal Article (1 results) Presentation (4 results) (of which Invited: 1 results)

  • [Journal Article] 平面波を初期値とする時間依存型消散項付き非線型分散型方程式について2013

    • Author(s)
      土井一幸
    • Journal Title

      富山県立大学紀要

      Volume: 23 Pages: 25-34

    • NAID

      110009579206

    • Related Report
      2012 Research-status Report
  • [Presentation] 波動方程式の解の微分に対する重み付き各点評価について

    • Author(s)
      土井一幸
    • Organizer
      三大学偏微分方程式セミナー
    • Place of Presentation
      中央大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Special solutions of nonlinear Schroedinger equations with some initial data

    • Author(s)
      Kazuyuki Doi
    • Organizer
      Gauge theories, integrable models and related topics
    • Place of Presentation
      大妻女子大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 波動方程式の解の微分に対する重み付き各点評価の考察

    • Author(s)
      久保英夫, 土井一幸
    • Organizer
      函館偏微分方程式研究集会
    • Place of Presentation
      公立はこだて未来大学
    • Related Report
      2012 Research-status Report
  • [Presentation] On the weighted pointwise estimates for derivatives of solutions to the wave equation

    • Author(s)
      久保英夫, 土井一幸
    • Organizer
      日本数学会2013年度年会
    • Place of Presentation
      京都大学
    • Related Report
      2012 Research-status Report

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Published: 2013-05-31   Modified: 2019-07-29  

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