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2012 Fiscal Year Final Research Report

Direct and inverse scattering problems for nonlinear dispersive equations with potential

Research Project

  • PDF
Project/Area Number 22740082
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Basic analysis
Research InstitutionChiba University

Principal Investigator

SASAKI Hironobu  千葉大学, 大学院・理学研究科, 准教授 (00568496)

Project Period (FY) 2010 – 2012
Keywords非線型分散型方程式
Research Abstract

In this study, we consider direct and inverse scattering problems for dispersive equations. By using methods of functional analysis, we obtain results for inverse scattering problems for Hartree equations in three space dimensions, direct and inverse scattering problems for the Klein-Gordon equation in quantum field theory and scattering problems for nonlinear Dirac equations in one space dimension.

  • Research Products

    (6 results)

All 2013 2012 2011 Other

All Journal Article (3 results) (of which Peer Reviewed: 3 results) Presentation (2 results) Remarks (1 results)

  • [Journal Article] Scattering problems for the one-dimensional nonlinear Dirac equation with power nonlinearity2013

    • Author(s)
      H.Sasaki
    • Journal Title

      Journal of Physics: Conference Series

      Volume: 410 Pages: 012035

    • URL

      http://iopscience.iop.org/1742-6596/410/1/012035

    • Peer Reviewed
  • [Journal Article] Inverse scattering problems for the Hartree equation whose interaction potential decays rapidly2012

    • Author(s)
      H.Sasaki
    • Journal Title

      J. Differential Equations

      Volume: 252 Pages: 2004-2023

    • URL

      http://www.sciencedirect.com/science/ar ticle/pii/S0022039611002798

    • Peer Reviewed
  • [Journal Article] An inverse scattering problem for the Klein-Gordon equation with a classical source in quantum field theory2011

    • Author(s)
      H.Sasaki and A.Suzuki
    • Journal Title

      Hokkaido Math.J.

      Volume: 40 Pages: 149-186

    • URL

      http://projecteuclid.org/DPubS?service= UI&version=1.0&verb=Display&page=toc&ha ndle=euclid.hokmj/1310042825

    • Peer Reviewed
  • [Presentation] Scattering problems for the one-dimensional nonlinear Dirac equation with power nonlinearity2012

    • Author(s)
      佐々木 浩宣
    • Organizer
      日本数学会 2012 年度秋季総合分科会函数方 程式論分科会
    • Place of Presentation
      九州大学
    • Year and Date
      2012-09-20
  • [Presentation] 急減少する相互作用ポテンシャルを持つHartree型方程式の逆散乱問題2011

    • Author(s)
      佐々木浩宣
    • Organizer
      日本数学会2011年度年会函数方程式論分科会
    • Place of Presentation
      早稲田大学
    • Year and Date
      2011-03-22
  • [Remarks]

    • URL

      http://www.math.s.chiba-u.ac.jp/~sasaki/J-re.html

URL: 

Published: 2014-08-29  

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