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Sasaki Hironobu  佐々木 浩宣

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SASAKI Hironobu  佐々木 浩宣

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Researcher Number 00568496
Other IDs
Affiliation (Current) 2025: 千葉大学, 大学院理学研究院, 准教授
Affiliation (based on the past Project Information) *help 2017 – 2023: 千葉大学, 大学院理学研究院, 准教授
2016: 千葉大学, 大学院理学研究科, 准教授
2012 – 2015: 千葉大学, 理学(系)研究科(研究院), 准教授
2012: 千葉大学, 大学院・理学研究科, 准教授
2010 – 2011: 千葉大学, 大学院・理学研究科, 助教
Review Section/Research Field
Principal Investigator
Mathematical analysis / Basic Section 12020:Mathematical analysis-related / Basic analysis
Keywords
Principal Investigator
散乱作用素 / 非線型分散型方程式 / 散乱問題 / 解の漸近挙動 / ソボレフ空間 / ディラック方程式 / 関数空間 / クライン・ゴルドン方程式 / 調和解析 / ベゾフ空間 … More / 逆散乱問題 / 重み付ソボレフ空間 / 波動作用素 / 散乱の逆問題 / シュレーディンガー方程式 / 修正波動作用素 / 平滑化効果 / 非線形クライン・ゴルドン方程式 / 非線型クライン・ゴルドン方程式 / ハートリー項 / 重み付きソボレフ空間 / 逆波動作用素 / 非線形ディラック方程式 / 斉次ソボレフ空間 / 解析的な関数 / 初期値問題 / 非線型シュレーディンガー方程式 / ローレンツ空間 / 解析的平滑化効果 / 相互作用ポテンシャル / 非線型シュレディンガー方程式 / 減衰評価 / 短距離散乱 / ストリッカーツ評価 / 非線型ディラック方程式 / 線型作用素 / 時間減衰評価 / 漸近挙動 Less
  • Research Projects

    (4 results)
  • Research Products

    (29 results)
  • Co-Researchers

    (1 People)
  •  分散型方程式の非線型項と散乱作用素の多角的考察Principal Investigator

    • Principal Investigator
      佐々木 浩宣
    • Project Period (FY)
      2022 – 2026
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Chiba University
  •  Shapes of functions, asymptotic behavior and function spaces associated with solutions to nonlinear dispersive equationsPrincipal Investigator

    • Principal Investigator
      Sasaki Hironobu
    • Project Period (FY)
      2017 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Mathematical analysis
    • Research Institution
      Chiba University
  •  Analysis of the scattering operator for nonlinear dispersive equationsPrincipal Investigator

    • Principal Investigator
      Hironobu Sasaki
    • Project Period (FY)
      2013 – 2016
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Mathematical analysis
    • Research Institution
      Chiba University
  •  Direct and inverse scattering problems for nonlinear dispersive equations with potentialPrincipal Investigator

    • Principal Investigator
      SASAKI Hironobu
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Basic analysis
    • Research Institution
      Chiba University

All 2024 2023 2022 2021 2020 2018 2017 2016 2015 2014 2013 2012 2011

All Journal Article Presentation

  • [Journal Article] On inverse scattering for the two-dimensional nonlinear Schr?dinger equation2024

    • Author(s)
      Sasaki Hironobu
    • Journal Title

      Journal of Differential Equations

      Volume: 401 Pages: 308-333

    • DOI

      10.1016/j.jde.2024.04.020

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22K03367
  • [Journal Article] Remark on the scattering operator for the semi-relativistic Hartree equation2024

    • Author(s)
      H. Sasaki
    • Journal Title

      Adv. Stud. Pure Math

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05311
  • [Journal Article] Remark on the scattering operator for the two-dimensional nonlinear Klein-Gordon equation with exponential nonlinearity2024

    • Author(s)
      H. Sasaki
    • Journal Title

      Kyushu J. Math.

      Volume: 78

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05311
  • [Journal Article] Remark on the scattering operator for the two-dimensional nonlinear Klein-Gordon equation with exponential nonlinearity2023

    • Author(s)
      H. Sasaki
    • Journal Title

      Kyushu J. Math.

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05311
  • [Journal Article] Dispersive estimates for quantum walks on 1D lattice2022

    • Author(s)
      MAEDA Masaya、SASAKI Hironobu、SEGAWA Etsuo、SUZUKI Akito、SUZUKI Kanako
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 74 Issue: 1 Pages: 217-246

    • DOI

      10.2969/jmsj/85218521

    • NAID

      130008144272

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Language
      English
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05311, KAKENHI-PROJECT-18K03354, KAKENHI-PROJECT-19K03579, KAKENHI-PROJECT-19KK0066, KAKENHI-PROJECT-19K03616
  • [Journal Article] Dispersive estimates for quantum walks on 1D lattice2021

    • Author(s)
      Masaya Maeda, Hironobu Sasaki, Etsuo Segawa, Akito Suzuki and Kanako Suzuki
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: -

    • NAID

      130008144272

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05311
  • [Journal Article] The scattering problem for the three-dimensional cubic nonlinear Klein-Gordon equation with rapidly decreasing input data2020

    • Author(s)
      Hironobu Sasaki
    • Journal Title

      Journal of Differential Equations

      Volume: 268 Issue: 12 Pages: 7774-7802

    • DOI

      10.1016/j.jde.2019.11.083

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05311
  • [Journal Article] Scattering and inverse scattering for nonlinear quantum walks2018

    • Author(s)
      Maeda Masaya, Sasaki Hironobu, Segawa Etsuo、Suzuki Akito、Suzuki Kanako
    • Journal Title

      Discrete & Continuous Dynamical Systems - A

      Volume: 38 Issue: 7 Pages: 3687-3703

    • DOI

      10.3934/dcds.2018159

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26800054, KAKENHI-PROJECT-17K05311, KAKENHI-PROJECT-16H03939, KAKENHI-PROJECT-17H02851, KAKENHI-PROJECT-15K17568, KAKENHI-PROJECT-16K17637
  • [Journal Article] Weak limit theorem for a nonlinear quantum walk2018

    • Author(s)
      M. Maeda, H. Sasaki, E. Segawa, A. Suzuki and K. Suzuki
    • Journal Title

      Quantum Inf Process

      Volume: 17 Issue: 9 Pages: 215-215

    • DOI

      10.1007/s11128-018-1981-z

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05311, KAKENHI-PROJECT-18K03327, KAKENHI-PROJECT-15K17568, KAKENHI-PROJECT-16K17637
  • [Journal Article] On the analytic smoothing effect for the Hartree equation2017

    • Author(s)
      H. Sasaki
    • Journal Title

      J. Math. Anal. Appl.

      Volume: 455 Issue: 2 Pages: 1088-1109

    • DOI

      10.1016/j.jmaa.2017.05.067

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05311
  • [Journal Article] Remark on the analytic smoothing effect for the Hartree2017

    • Author(s)
      H. Sasaki
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B65

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17K05311
  • [Journal Article] Remark on the scattering operator for the quintic nonlinear Dirac equation in one space dimension2017

    • Author(s)
      H. Sasaki
    • Journal Title

      Advanced Study of Pure Mathematics

      Volume: 印刷中

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25800074
  • [Journal Article] Remark on the analytic smoothing effect for the Hartree equation2017

    • Author(s)
      H. Sasaki
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: 印刷中

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25800074
  • [Journal Article] Scattering operator for the one dimensional Dirac equation with power nonlinearity2016

    • Author(s)
      N. Hayashi and H. Sasaki
    • Journal Title

      J. Hyper. Differential Equations

      Volume: 13 Issue: 04 Pages: 821-832

    • DOI

      10.1142/s0219891616500223

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25800074
  • [Journal Article] Small analytic solutions to the Hartree equation2016

    • Author(s)
      H. Sasaki
    • Journal Title

      J. Funct. Anal.

      Volume: 270 Issue: 3 Pages: 1064-1090

    • DOI

      10.1016/j.jfa.2015.11.001

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25800074
  • [Journal Article] Small data scattering for the one-dimensional nonlinear Dirac equation with power nonlinearity2015

    • Author(s)
      H. Sasaki
    • Journal Title

      Comm. Partial Differential Equations

      Volume: 40 Issue: 11 Pages: 1959-2004

    • DOI

      10.1080/03605302.2015.1081608

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25800074
  • [Journal Article] Remark on the scattering operator for the cubic nonlinear Dirac equation in three space dimensions2015

    • Author(s)
      H. Sasaki
    • Journal Title

      J. Differential Equations

      Volume: 259 Issue: 7 Pages: 3274-3297

    • DOI

      10.1016/j.jde.2015.04.020

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25800074
  • [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: 12035-12035

    • URL

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

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740082
  • [Journal Article] Scattering problems for the one-dimensional nonlinear Dirac equation with power nonlinearity2013

    • Author(s)
      Hironobu Sasaki
    • Journal Title

      Journal of Physics: Conference Series

      Volume: 410 Pages: 12035-12035

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740082
  • [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

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740082
  • [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

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740082
  • [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

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740082
  • [Presentation] The scattering problem for the three-dimensional cubic nonlinear Klein-Gordon equation with rapidly decreasing input data2021

    • Author(s)
      佐々木 浩宣
    • Organizer
      日本数学会2021年度年会
    • Data Source
      KAKENHI-PROJECT-17K05311
  • [Presentation] Small analytic solutions to the Hartree equation2016

    • Author(s)
      佐々木 浩宣
    • Organizer
      日本数学会2016年度年会函数方程式論分科会
    • Place of Presentation
      筑波大学(茨城県・つくば市)
    • Year and Date
      2016-03-19
    • Data Source
      KAKENHI-PROJECT-25800074
  • [Presentation] Remark on the scattering operator for the cubic nonlinear Dirac equation in three space dimensions2014

    • Author(s)
      佐々木浩宣
    • Organizer
      日本数学会2014年度秋季総合分科会函数方程式論分科会
    • Place of Presentation
      広島大学
    • Year and Date
      2014-09-28
    • Data Source
      KAKENHI-PROJECT-25800074
  • [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
    • Data Source
      KAKENHI-PROJECT-22740082
  • [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
    • Data Source
      KAKENHI-PROJECT-22740082
  • [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
    • Data Source
      KAKENHI-PROJECT-22740082
  • [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
    • Place of Presentation
      早稲田大学(東京都)
    • Year and Date
      2011-03-22
    • Data Source
      KAKENHI-PROJECT-22740082
  • 1.  SUZUKI Akito
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results

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