Miyazaki Hayato 宮崎隼人

Researcher Number	70752202
Other IDs	https://orcid.org/0000-0002-4119-3406
Affiliation (Current)	2026: 香川大学, 教育学部, 准教授
Affiliation (based on the past Project Information) *help	2020 – 2024: 香川大学, 教育学部, 准教授 2019: 津山工業高等専門学校, 総合理工学科, 講師
Review Section/Research Field	Principal Investigator Basic Section 12020:Mathematical analysis-related
Keywords	Principal Investigator 散乱問題 / 分散性 / 散乱理論 / 解挙動 / 非線形分散型方程式 / 解の分類 / 調和振動子 / 質量減衰 / 散乱 / 非線形シュレディンガー方程式 … More / 長時間挙動 / 偏微分方程式 / 安定性 / 定在波 Less

非線形分散型方程式における解挙動の多面的研究Principal Investigator
- Principal Investigator
  
  宮崎隼人
- Project Period (FY)
  2022 – 2026
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Kagawa University
New developments in scattering theory for nonlinear dispersive equationsPrincipal Investigator
- Principal Investigator
  
  Miyazaki Hayato
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Kagawa University
  Tsuyama National College of Technology

All 2025 2024 2023 2022 2021 2020 2019

All Journal Article Presentation

[Journal Article] Modified scattering operator for nonlinear Schr?dinger equations with time-decaying harmonic potentials2025
- Author(s)
  Kawamoto Masaki、Miyazaki Hayato
- Journal Title
  
  Nonlinear Analysis
  
  Volume: 256 Pages: 113778-113778
- DOI
  10.1016/j.na.2025.113778
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K14328, KAKENHI-PROJECT-24K06796, KAKENHI-PROJECT-22K13941
[Journal Article] Global well-posedness and scattering in weighted space for nonlinear Schr?dinger equations below the Strauss exponent without gauge-invariance2025
- Author(s)
  Kawamoto Masaki、Masaki Satoshi、Miyazaki Hayato
- Journal Title
  
  Mathematische Annalen
  
  Volume: 392 Issue: 1 Pages: 1051-1097
- DOI
  10.1007/s00208-025-03121-w
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K14328, KAKENHI-PROJECT-24K06796, KAKENHI-PROJECT-22K13941
[Journal Article] Refined L^2-decay estimate of solutions to a system of dissipative nonlinear Schrodinger equations2024
- Author(s)
  N.Kita, H.Miyazaki, Y.Sagawa, T.Sato
- Journal Title
  
  Journal of Applied Science and Engineering A
  
  Volume: 5(1) Issue: 1 Pages: 18-30
- DOI
  10.5564/jase-a.v5i1.3408
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-23K03168, KAKENHI-PROJECT-23K03183, KAKENHI-PROJECT-22K13937, KAKENHI-PROJECT-22K13941, KAKENHI-PROJECT-23KJ1765
[Journal Article] Long-range scattering for a critical homogeneous type nonlinear Schr?dinger equation with time-decaying harmonic potentials2023
- Author(s)
  Kawamoto Masaki、Miyazaki Hayato
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 365 Pages: 127-167
- DOI
  10.1016/j.jde.2023.04.009
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K13941, KAKENHI-PROJECT-19K14580, KAKENHI-PROJECT-20K14328
[Journal Article] Global Behavior of Solutions to Generalized Gross-Pitaevskii Equation2022
- Author(s)
  Masaki Satoshi、Miyazaki Hayato
- Journal Title
  
  Differential Equations and Dynamical Systems
  
  Volume: - Issue: 3 Pages: 743-761
- DOI
  10.1007/s12591-022-00609-8
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K14580, KAKENHI-PROJECT-24K00529, KAKENHI-PROJECT-22K13941
[Journal Article] Asymptotic behavior for the long-range nonlinear Schr?dinger equation on the star graph with the Kirchhoff boundary condition2022
- Author(s)
  Aoki Kazuki、Inui Takahisa、Miyazaki Hayato、Mizutani Haruya、Uriya Kota
- Journal Title
  
  Pure and Applied Analysis
  
  Volume: 4 Issue: 2 Pages: 287-311
- DOI
  10.2140/paa.2022.4.287
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03325, KAKENHI-PROJECT-18K13444, KAKENHI-PROJECT-19KK0066, KAKENHI-PROJECT-19K14578, KAKENHI-PROJECT-19K14580
[Journal Article] Strong blow-up instability for standing wave solutions to the system of the quadratic nonlinear Klein-Gordon equations2021
- Author(s)
  Miyazaki Hayato
- Journal Title
  
  Discrete & Continuous Dynamical Systems
  
  Volume: 41 Issue: 5 Pages: 2411-2445
- DOI
  10.3934/dcds.2020370
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14580
[Journal Article] Lower bound for the lifespan of solutions to the generalized KdV equation with low-degree of nonlinearity2020
- Author(s)
  Miyazaki Hayato
- Journal Title
  
  Advanced Studies in Pure Mathematics
  
  Volume: 85 Pages: 303-313
- DOI
  10.2969/aspm/08510303
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14580
[Journal Article] Lifespan of Solutions to Nonlinear Schroedinger Equations with General Homogeneous Nonlinearity of the Critical Order2020
- Author(s)
  Miyazaki Hayato, Sobajima Motohiro
- Journal Title
  
  Advances in Harmonic Analysis and Partial Differential Equations. Trends in Mathematics.
  
  Volume: 1 Pages: 197-207
- DOI
  10.1007/978-3-030-58215-9_7
- ISBN
  9783030582142, 9783030582159
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14580
[Presentation] Scattering for NLS without gauge-invariance below the Strauss exponent2025
- Author(s)
  宮崎隼人
- Organizer
  Saga Workshop on Partial Differential Equations
- Invited
- Data Source
  KAKENHI-PROJECT-22K13941
[Presentation] Modified scattering operator for nonlinear Schroedinger equations with a time-decaying harmonic potential2024
- Author(s)
  Hayato Miyazaki
- Organizer
  PDEs Research Group Seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13941
[Presentation] Small data scattering for NLS without gauge-invariance below the Strauss exponent2024
- Author(s)
  Hayato Miyazaki
- Organizer
  RIMS Symposia (open) Evolution Equations and Related Topics - Quantitative Analysis and Abstract Structures-
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13941
[Presentation] Global well-posedness for NLS without gauge-invariance below the Strauss exponent2024
- Author(s)
  Hayato Miyazaki
- Organizer
  Imadegawa Workshop on Dispersive Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13941
[Presentation] 星グラフ上の非線形シュレディンガー方程式における解の漸近挙動について2024
- Author(s)
  宮崎隼人
- Organizer
  第11回茨城高専数学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22K13941
[Presentation] Small data scattering for NLS without gauge-invariance below the Strauss exponent2024
- Author(s)
  宮崎隼人
- Organizer
  第3回信州若里偏微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22K13941
[Presentation] 時間減衰する調和振動子を持つ非線形シュレディンガー方程式の修正散乱作用素について2024
- Author(s)
  川本昌紀, 宮崎隼人
- Organizer
  日本数学会2024年度年会
- Data Source
  KAKENHI-PROJECT-22K13941
[Presentation] Modified Scattering Operator for Nonlinear Schroedinger Equations with a Time-Decaying Harmonic Potential2024
- Author(s)
  Hayato Miyazaki
- Organizer
  Colloquium at Department of Mathematics, National Cheng Kung University
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13941
[Presentation] Modified scattering operator for nonlinear Schroedinger equations with a time-decaying harmonic potential2024
- Author(s)
  宮崎隼人
- Organizer
  第6回ひこね解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22K13941
[Presentation] Modified scattering operator for nonlinear Schroedinger equations with a time-decaying harmonic potential2024
- Author(s)
  Hayato Miyazaki
- Organizer
  Workshop on dispersive PDE
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13941
[Presentation] 消散構造を持つ非線形シュレディンガー方程式における解の質量減衰について2024
- Author(s)
  宮崎隼人
- Organizer
  第219回愛媛大学解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22K13941
[Presentation] ある非線形シュレディンガー方程式の長距離散乱について2023
- Author(s)
  宮崎隼人
- Organizer
  Takamatsu Mini Workshop on PDE and Geometric Analysis
- Invited
- Data Source
  KAKENHI-PROJECT-19K14580
[Presentation] Long-range scattering for a homogeneous type nonlinear Schroedinger equation2023
- Author(s)
  宮崎隼人
- Organizer
  研究集会「微分方程式における解の漸近挙動の解析とその周辺」
- Invited
- Data Source
  KAKENHI-PROJECT-19K14580
[Presentation] 時間減衰する調和振動子を持つ非線形シュレディンガー方程式の修正散乱作用素について2023
- Author(s)
  宮崎隼人
- Organizer
  第4回大同大学若手微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22K13941
[Presentation] ある非線形シュレディンガー方程式の長距離散乱について2023
- Author(s)
  宮崎隼人
- Organizer
  Takamatsu Mini Workshop on PDE and Geometric Analysis
- Invited
- Data Source
  KAKENHI-PROJECT-22K13941
[Presentation] 時間減衰する調和振動子を持つ非線形シュレディンガー方程式の修正散乱作用素について2023
- Author(s)
  宮崎隼人
- Organizer
  合宿型研究集会「非線型分散型・双曲型偏微分方程式の解の長時間挙動」
- Invited
- Data Source
  KAKENHI-PROJECT-22K13941
[Presentation] Long-range scattering for a homogeneous type nonlinear Schroedinger equation2023
- Author(s)
  宮崎隼人
- Organizer
  研究集会「微分方程式における解の漸近挙動の解析とその周辺」
- Invited
- Data Source
  KAKENHI-PROJECT-22K13941
[Presentation] Long-range scattering for a homogeneous type nonlinear Schroedinger equation2022
- Author(s)
  宮崎隼人
- Organizer
  Critical Exponent and Nonlinear Partial Differential Equations 2022
- Invited
- Data Source
  KAKENHI-PROJECT-19K14580
[Presentation] 時間減衰する調和振動子を持つ非線形シュレディンガー方程式の長距離散乱について2022
- Author(s)
  宮崎隼人
- Organizer
  第二回香川における偏微分方程式研究会
- Invited
- Data Source
  KAKENHI-PROJECT-22K13941
[Presentation] Long-range scattering for a homogeneous type nonlinear Schroedinger equation2022
- Author(s)
  宮崎隼人
- Organizer
  RIMS共同研究 (公開型) スペクトル・散乱理論とその周辺
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13941
[Presentation] Long-range scattering for a homogeneous type nonlinear Schroedinger equation2022
- Author(s)
  Hayato Miyazaki
- Organizer
  Himeji Conference on Partial Differential Equations 2022
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14580
[Presentation] Long-range scattering for a homogeneous type nonlinear Schroedinger equation2022
- Author(s)
  宮崎隼人
- Organizer
  第778回応用解析研究会
- Invited
- Data Source
  KAKENHI-PROJECT-22K13941
[Presentation] Long-range scattering for a homogeneous type nonlinear Schroedinger equation2022
- Author(s)
  宮崎隼人
- Organizer
  第778回応用解析研究会
- Invited
- Data Source
  KAKENHI-PROJECT-19K14580
[Presentation] 時間減衰する調和振動子を持つ臨界斉次型非線形シュレディンガー方程式における長距離散乱について2022
- Author(s)
  川本昌紀, 宮崎隼人
- Organizer
  日本数学会2022年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-19K14580
[Presentation] Long-range scattering for a homogeneous type nonlinear Schroedinger equation2022
- Author(s)
  宮崎隼人
- Organizer
  九州関数方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K14580
[Presentation] 時間減衰する調和振動子を持つ非線形シュレディンガー方程式の長距離散乱について2022
- Author(s)
  宮崎隼人
- Organizer
  第二回香川における偏微分方程式研究会
- Invited
- Data Source
  KAKENHI-PROJECT-19K14580
[Presentation] Long-range scattering for a homogeneous type nonlinear Schroedinger equation2022
- Author(s)
  宮崎隼人
- Organizer
  RIMS共同研究 (公開型) スペクトル・散乱理論とその周辺
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14580
[Presentation] Long-range scattering for a homogeneous type nonlinear Schroedinger equation2022
- Author(s)
  宮崎隼人
- Organizer
  九州関数方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22K13941
[Presentation] 時間減衰する調和振動子を持つ臨界斉次型非線形シュレディンガー方程式における長距離散乱について2022
- Author(s)
  川本昌紀, 宮崎隼人
- Organizer
  日本数学会2022年度秋季総合分科会
- Data Source
  KAKENHI-PROJECT-22K13941
[Presentation] Asymptotic behavior of solutions to the long-range nonlinear Schroedinger equation on a star graph2021
- Author(s)
  Hayato Miyazaki
- Organizer
  California State University, Fullerton Geometry Seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14580
[Presentation] Kirchhoff境界条件をもつ星グラフ上の非線形Schroedinger方程式の解の漸近挙動について2021
- Author(s)
  青木和貴, 戍亥隆恭, 水谷治哉, 宮崎隼人 (登壇者), 瓜屋航太
- Organizer
  日本数学会2021年度年会
- Data Source
  KAKENHI-PROJECT-19K14580
[Presentation] Asymptotic behavior of solutions to the long-range nonlinear Schroedinger equation on a star graph2021
- Author(s)
  宮崎隼人
- Organizer
  第249回広島数理解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K14580
[Presentation] Asymptotic behavior of solutions to the long-range nonlinear Schroedinger equation on a star graph2021
- Author(s)
  宮崎隼人
- Organizer
  大阪大学数学教室微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K14580
[Presentation] 斉次型非線形項を持つ非線形シュレーディンガー方程式の修正散乱について2021
- Author(s)
  宮崎隼人
- Organizer
  香川における偏微分方程式研究会
- Invited
- Data Source
  KAKENHI-PROJECT-19K14580
[Presentation] Asymptotic behavior of solutions to the long-range nonlinear Schroedinger equation on a star graph2021
- Author(s)
  宮崎隼人
- Organizer
  京都大学数理解析研究所共同研究「線形および非線形分散型方程式の研究の進展」
- Invited
- Data Source
  KAKENHI-PROJECT-19K14580
[Presentation] Long range scattering for the nonlinear Schroedinger equation on the star graph with the Kirchhoff boundary condition2020
- Author(s)
  宮崎隼人
- Organizer
  Well-posedness Zoomセミナー
- Data Source
  KAKENHI-PROJECT-19K14580
[Presentation] Asymptotic behavior of solutions to the long-range nonlinear Schroedinger equation on a star graph2020
- Author(s)
  宮崎隼人
- Organizer
  研究集会「微分方程式の総合的研究」
- Invited
- Data Source
  KAKENHI-PROJECT-19K14580
[Presentation] Strong instability for standing wave solutions to the system of the quadratic NLKG2019
- Author(s)
  宮崎隼人
- Organizer
  第6回神楽坂非線形波動研究会
- Invited
- Data Source
  KAKENHI-PROJECT-19K14580
[Presentation] Strong instability for standing wave solutions to the system of the quadratic NLKG2019
- Author(s)
  宮崎隼人
- Organizer
  大阪大学数学教室微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K14580
[Presentation] Strong instability for standing wave solutions to the system of the quadratic NLKG2019
- Author(s)
  Hayato Miyazaki
- Organizer
  12th International ISAAC Congress, Session : Harmonic Analysis and Partial Diferential Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14580
[Presentation] Strong instability for standing wave solutions to the system of the quadratic NLKG2019
- Author(s)
  宮崎隼人
- Organizer
  京都大学数理解析研究所共同研究「線形および非線形分散型方程式の研究」
- Invited
- Data Source
  KAKENHI-PROJECT-19K14580

1. 水谷治哉

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results
2. 川本昌紀

# of Collaborated Projects: 0 results

# of Collaborated Products: 2 results
3. 北直泰

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Miyazaki Hayato 宮崎 隼人

Research Projects

Research Products

Co-Researchers

非線形分散型方程式における解挙動の多面的研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

New developments in scattering theory for nonlinear dispersive equationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] Modified scattering operator for nonlinear Schr?dinger equations with time-decaying harmonic potentials2025

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Global well-posedness and scattering in weighted space for nonlinear Schr?dinger equations below the Strauss exponent without gauge-invariance2025

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Refined L^2-decay estimate of solutions to a system of dissipative nonlinear Schrodinger equations2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Long-range scattering for a critical homogeneous type nonlinear Schr?dinger equation with time-decaying harmonic potentials2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Global Behavior of Solutions to Generalized Gross-Pitaevskii Equation2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Asymptotic behavior for the long-range nonlinear Schr?dinger equation on the star graph with the Kirchhoff boundary condition2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Strong blow-up instability for standing wave solutions to the system of the quadratic nonlinear Klein-Gordon equations2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Lower bound for the lifespan of solutions to the generalized KdV equation with low-degree of nonlinearity2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Lifespan of Solutions to Nonlinear Schroedinger Equations with General Homogeneous Nonlinearity of the Critical Order2020

Author(s)

Journal Title

DOI

ISBN

Data Source

[Presentation] Scattering for NLS without gauge-invariance below the Strauss exponent2025

Author(s)

Organizer

Data Source

[Presentation] Modified scattering operator for nonlinear Schroedinger equations with a time-decaying harmonic potential2024

Author(s)

Organizer

Data Source

[Presentation] Small data scattering for NLS without gauge-invariance below the Strauss exponent2024

Author(s)

Organizer

Data Source

[Presentation] Global well-posedness for NLS without gauge-invariance below the Strauss exponent2024

Author(s)

Organizer

Data Source

[Presentation] 星グラフ上の非線形シュレディンガー方程式における解の漸近挙動について2024

Author(s)

Miyazaki Hayato 宮崎隼人