Uchida Shun 内田俊

Researcher Number	60777986
Other IDs
Affiliation (Current)	2025: 大分大学, 理工学部, 講師
Affiliation (based on the past Project Information) *help	2020 – 2024: 大分大学, 理工学部, 講師 2018 – 2023: 早稲田大学, 理工学術院, 助教 2019: 大分大学, 理工学部, 助教
Review Section/Research Field	Principal Investigator Basic Section 12020:Mathematical analysis-related Except Principal Investigator Medium-sized Section 12:Analysis, applied mathematics, and related fields / Basic Section 12020:Mathematical analysis-related
Keywords	Principal Investigator ハイパーグラフラプラシアン / p-ラプラシアン / 解の消滅 / 非線型放物型方程式 / 非線型拡散現象 Except Principal Investigator 函数解析 / 変分解析 / 調和解析 / 漸近解析 / 分散方程式 … More / 集合値関数 / 非線形放物型方程式 / L∞エネルギー法 / 二重拡散対流方程式 / 複素ギンツブルグ-ランダウ方程式 / 複素ギンツブルグ・ランダウ方程式 / ミトコンドリア膨潤モデル / 複素ギンツブルグ - ランダウ方程式 / 二重非線型放物型方程式 / 強消散項を持つ波動方程式 / 集合値項を持つ偏微分方程式 / 非線型境界値問題 / gradient flow / ecosystems / 非線型楕円型方程式 / 放物型方程式論 Less

連続的/離散的な媒質上の非線型拡散方程式～横断的解析と漸近的解析～Principal Investigator
- Principal Investigator
  
  内田俊
- Project Period (FY)
  2024 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Oita University
放物型方程式論の深化と放物型性の起源の探索
- Principal Investigator
  
  大谷光春
- Project Period (FY)
  2018 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Waseda University
Research on Dispersive Equations and Harmonic Analysis
- Principal Investigator
  
  小澤徹
- Project Period (FY)
  2018 – 2024
- Research Category
  
  Fund for the Promotion of Joint International Research (Fostering Joint International Research (B))
- Review Section
  
  Medium-sized Section 12:Analysis, applied mathematics, and related fields
- Research Institution
  Waseda University

All 2024 2023 2022 2021 2020 2019 2018

All Journal Article Presentation

[Journal Article] Nonlinear evolution equation associated with hypergraph Laplacian2023
- Author(s)
  Ikeda Masahiro、Uchida Shun
- Journal Title
  
  Mathematical Methods in the Applied Sciences
  
  Volume: - Issue: 8 Pages: 9463-9476
- DOI
  10.1002/mma.9068
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K14581, KAKENHI-PROJECT-18KK0073
[Journal Article] Periodic problems for doubly nonlinear evolution equations2022
- Author(s)
  Masahiro Koike, Mitsuharu Otani and Shun Uchida
- Journal Title
  
  Journal of Convex Analysis
  
  Volume: 29
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03382
[Journal Article] Solvability of doubly nonlinear parabolic equation with <i>p</i>-laplacian2022
- Author(s)
  S. Uchida
- Journal Title
  
  Evolution Equations and Control Theory
  
  Volume: 11 Issue: 3 Pages: 975-975
- DOI
  10.3934/eect.2021033
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18KK0073
[Journal Article] Existence of time periodic solution to some double-diffusive convection system in the whole space domain2018
- Author(s)
  Otani, M. and Uchida, S.
- Journal Title
  
  Journal of Mathematical Fluid Mechanics
  
  Volume: 20(3) Issue: 3 Pages: 1035-1058
- DOI
  10.1007/s00021-017-0354-1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03382, KAKENHI-PROJECT-18KK0073, KAKENHI-PROJECT-15K13451
[Presentation] An approximation of evolution equation with clique expansion of hypergraph Laplacian2024
- Author(s)
  S. Uchida
- Organizer
  2024日本数学会年会実函数論分科会
- Data Source
  KAKENHI-PROJECT-18KK0073
[Presentation] Nonlinear set-valued ODE governed by hypergraph Laplacian2023
- Author(s)
  S. Uchida
- Organizer
  Workshop on Nonlinear Partial Differential Equations China-Japan Joint Project for Young Mathematicians 2023
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18KK0073
[Presentation] ハイパーグラフラプラシアンのClique expansionを主要項とする近似方程式について2023
- Author(s)
  S. Uchida
- Organizer
  第49回発展方程式研究会
- Data Source
  KAKENHI-PROJECT-18KK0073
[Presentation] ハイパーグラフラプラシアンを主要項とする非線形発展方程式について2023
- Author(s)
  S. Uchida
- Organizer
  第4回大同大学若手微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18KK0073
[Presentation] ハイパーグラフラプラシアンを主要項とする非線型発展方程式について2023
- Author(s)
  S. Uchida
- Organizer
  九州工業大学数理セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18KK0073
[Presentation] Nonlinear evolution equation associated with hypergraph Laplacian2023
- Author(s)
  S. Uchida
- Organizer
  第792回応用解析研究会
- Invited
- Data Source
  KAKENHI-PROJECT-18KK0073
[Presentation] Sufficient condition of maximality of sum of monotone operators2023
- Author(s)
  S. Uchida
- Organizer
  2023日本数学会秋季総合分科会実函数論分科会
- Data Source
  KAKENHI-PROJECT-18KK0073
[Presentation] Nonlinear evolution equation associated with hypergraph Laplacian2023
- Author(s)
  S. Uchida
- Organizer
  The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications (Special Session No. 65)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18KK0073
[Presentation] Solvability of doubly nonlinear parabolic equation with p-Laplacian2023
- Author(s)
  S. Uchida
- Organizer
  The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications (Special Session No. 18)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18KK0073
[Presentation] ハイパーグラフラプラシアンを主要項とする非線型多価常微分方程式について2023
- Author(s)
  S. Uchida
- Organizer
  第188回神楽坂解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18KK0073
[Presentation] Heat equation on the hypergraph containing vertices with given data2022
- Author(s)
  S. Uchida
- Organizer
  2022年度日本数学会秋季総合分科会実函数論分科会
- Data Source
  KAKENHI-PROJECT-18KK0073
[Presentation] Multivalued ordinary differential equation governed by hypergraph Laplacian2022
- Author(s)
  S. Uchida
- Organizer
  RIMS共同研究発展方程式論の革新：異分野との融合がもたらす理論の深化
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18KK0073
[Presentation] いくつかの頂点での値が既知であるハイパーグラフ上の発展方程式について2022
- Author(s)
  S. Uchida
- Organizer
  第48回発展方程式研究会
- Data Source
  KAKENHI-PROJECT-18KK0073
[Presentation] ハイパーグラフラプラシアンを主要項とする発展方程式について2021
- Author(s)
  内田俊
- Organizer
  第24回非線形発展方程式セミナー＠KUE
- Invited
- Data Source
  KAKENHI-PROJECT-18KK0073
[Presentation] p-ラプラシアンを主要項に持つ二重非線型放物型方程式の可解性について2021
- Author(s)
  内田俊
- Organizer
  第56回南大阪応用数学セミナー（オンライン）
- Invited
- Data Source
  KAKENHI-PROJECT-18KK0073
[Presentation] 二重非線型抽象発展方程式の時間周期問題の可解性について2021
- Author(s)
  内田俊
- Organizer
  第4回反応拡散方程式と非線形分散型方程式の解の挙動（オンライン）
- Invited
- Data Source
  KAKENHI-PROJECT-18KK0073
[Presentation] 二重非線型抽象発展方程式の時間周期問題の可解性について2021
- Author(s)
  内田　俊
- Organizer
  第4回反応拡散方程式と非線形分散型方程式の解の挙動
- Invited
- Data Source
  KAKENHI-PROJECT-18K03382
[Presentation] Nonlinear evolution equation associated with Hypergraph Laplacian2021
- Author(s)
  内田俊
- Organizer
  日本数学会2021年度秋季総合分科会（オンライン）
- Data Source
  KAKENHI-PROJECT-18KK0073
[Presentation] ハイパーグラフ-p-ラプラシアンに対するPoincare-Wirtinger型不等式とその応用について2021
- Author(s)
  内田俊
- Organizer
  第47回発展方程式研究会（オンライン）
- Data Source
  KAKENHI-PROJECT-18KK0073
[Presentation] p-ラプラシアンを主要項とする二重非線型放物型方程式の可解性について2020
- Author(s)
  内田俊
- Organizer
  第17回 Elliptic and Parabolic Zoom Seminar（オンライン）
- Invited
- Data Source
  KAKENHI-PROJECT-18KK0073
[Presentation] p-ラプラシアンを主要項に持つ二重非線型放物型方程式の適切性について2020
- Author(s)
  内田俊
- Organizer
  第13回非線形発展方程式セミナー（オンライン）
- Invited
- Data Source
  KAKENHI-PROJECT-18KK0073
[Presentation] Solvability of doubly nonlinear parabolic equations with p-Laplacian2020
- Author(s)
  内田俊
- Organizer
  第45回偏微分方程式論札幌シンポジウム（オンライン）
- Invited
- Data Source
  KAKENHI-PROJECT-18KK0073
[Presentation] p-ラプラシアンを主要項に持つ二重非線型放物型方程式の適切性について2020
- Author(s)
  内田俊
- Organizer
  第46回発展方程式研究会（オンライン）
- Data Source
  KAKENHI-PROJECT-18KK0073
[Presentation] Solvability of doubly nonlinear parabolic equations with p-Laplacian2020
- Author(s)
  内田俊
- Organizer
  2020年度日本数学会秋季総合分科会実函数論分科会（オンライン）
- Data Source
  KAKENHI-PROJECT-18KK0073
[Presentation] 全空間領域上の二重拡散対流方程式に対する時間周期問題の可解性について2019
- Author(s)
  内田俊
- Organizer
  熊本大学応用解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18KK0073
[Presentation] 摂動項付き非線型抽象発展方程式に対する解の右微分可能性について2019
- Author(s)
  内田俊
- Organizer
  第15回非線型の諸問題
- Invited
- Data Source
  KAKENHI-PROJECT-18KK0073
[Presentation] Right-differentiability of solution to some nonlinear abstract evolution equations with non-monotone perturbation2019
- Author(s)
  内田俊
- Organizer
  RIMS共同研究（公開型）発展方程式論の新展開：数理理論と現象解析の協働
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18KK0073
[Presentation] 極大単調作用素を主要項とする非線型発展方程式に対する解の右微分可能性について2019
- Author(s)
  内田俊
- Organizer
  解析学勉強会
- Invited
- Data Source
  KAKENHI-PROJECT-18KK0073
[Presentation] 全空間領域上の二重拡散対流モデルに対する時間周期解の存在について2019
- Author(s)
  内田俊
- Organizer
  九州関数方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18KK0073
[Presentation] 摂動項付き非線形発展方程式に対する解の右微分可能性について2019
- Author(s)
  内田俊
- Organizer
  東京理科大学談話会
- Invited
- Data Source
  KAKENHI-PROJECT-18KK0073
[Presentation] Right-Differentiability of Solution to Nonlinear Evolution Equations with Perturbation2018
- Author(s)
  Otani, M. and Uchida, S.
- Organizer
  The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03382

1. 大谷光春 (30119656)

# of Collaborated Projects: 1 results

# of Collaborated Products: 3 results
2. 小澤徹 (70204196)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. 田中和永 (20188288)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. BEZ NEAL (30729843)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. 湯浅一哉 (90339721)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. 池田正弘

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Uchida Shun 内田 俊

Research Projects

Research Products

Co-Researchers

連続的/離散的な媒質上の非線型拡散方程式～横断的解析と漸近的解析～Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

放物型方程式論の深化と放物型性の起源の探索

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Research on Dispersive Equations and Harmonic Analysis

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] Nonlinear evolution equation associated with hypergraph Laplacian2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Periodic problems for doubly nonlinear evolution equations2022

Author(s)

Journal Title

Data Source

[Journal Article] Solvability of doubly nonlinear parabolic equation with &lt;i&gt;p&lt;/i&gt;-laplacian2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Existence of time periodic solution to some double-diffusive convection system in the whole space domain2018

Author(s)

Journal Title

DOI

Data Source

[Presentation] An approximation of evolution equation with clique expansion of hypergraph Laplacian2024

Author(s)

Organizer

Data Source

[Presentation] Nonlinear set-valued ODE governed by hypergraph Laplacian2023

Author(s)

Organizer

Data Source

[Presentation] ハイパーグラフラプラシアンのClique expansionを主要項とする近似方程式について2023

Author(s)

Organizer

Data Source

[Presentation] ハイパーグラフラプラシアンを主要項とする非線形発展方程式について2023

Author(s)

Organizer

Data Source

[Presentation] ハイパーグラフラプラシアンを主要項とする非線型発展方程式について2023

Author(s)

Organizer

Data Source

[Presentation] Nonlinear evolution equation associated with hypergraph Laplacian2023

Author(s)

Organizer

Data Source

[Presentation] Sufficient condition of maximality of sum of monotone operators2023

Author(s)

Organizer

Data Source

[Presentation] Nonlinear evolution equation associated with hypergraph Laplacian2023

Author(s)

Organizer

Data Source

[Presentation] Solvability of doubly nonlinear parabolic equation with p-Laplacian2023

Author(s)

Organizer

Data Source

[Presentation] ハイパーグラフラプラシアンを主要項とする非線型多価常微分方程式について2023

Author(s)

Organizer

Uchida Shun 内田俊

[Journal Article] Solvability of doubly nonlinear parabolic equation with <i>p</i>-laplacian2022