Oka Yasuyuki 岡康之

Researcher Number	70625079
Other IDs
Affiliation (Current)	2026: 大同大学, 教養部, 教授
Affiliation (based on the past Project Information) *help	2026: 大同大学, 教養部, 教授 2024: 大同大学, 教養部, 教授 2021 – 2023: 大同大学, 教養部, 准教授
Review Section/Research Field	Principal Investigator Basic Section 12020:Mathematical analysis-related
Keywords	Principal Investigator 局所可解性 / 非線形熱方程式 / 一意存在性 / ソボレフ空間 / 小さな初期値 / 時間大域解 / minimal regularity / 半線形熱方程式 / stratified Lie groups / ベキ零リー群 … More / エンゲル群 / ハイゼンベルグ群 / 時間局所的適切性 / 初期値問題 / 非線形発展方程式 / stratified Lie 群 Less

時空積分評価に基づくハイゼンベルグ群上の非線形分散型方程式の研究Principal Investigator
- Principal Investigator
  
  岡康之
- Project Period (FY)
  2026 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Daido University
Solvability of nonlinear evolution equations with Lie group structurePrincipal Investigator
- Principal Investigator
  
  Oka Yasuyuki
- Project Period (FY)
  2021 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Daido University

All 2025 2024 2023

All Journal Article Presentation

[Journal Article] Existence and uniqueness results for the Cauchy problem of generalized Burgers type equations on stratified Lie groups2025
- Author(s)
  Hirayama Hiroyuki、Oka Yasuyuki
- Journal Title
  
  Journal of Elliptic and Parabolic Equations
  
  Volume: - Issue: 1 Pages: 265-296
- DOI
  10.1007/s41808-025-00318-7
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03333
[Journal Article] Existence and Uniqueness for the Cauchy Problem of Semilinear Heat Equations on Stratified Lie Groups in the Critical Sobolev Space2024
- Author(s)
  Hirayama Hiroyuki、Oka Yasuyuki
- Journal Title
  
  Taiwanese Journal of Mathematics
  
  Volume: 28 Issue: 6 Pages: 1183-1203
- DOI
  10.11650/tjm/240604
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03333
[Journal Article] Results of existence and uniqueness for the Cauchy problem of semilinear heat equations on stratified Lie groups2024
- Author(s)
  Hirayama Hiroyuki、Oka Yasuyuki
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 412 Pages: 214-249
- DOI
  10.1016/j.jde.2024.08.027
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03333
[Presentation] Results of existence and uniqueness for the Cauchy problem of semilinear heat equations on stratified Lie groups2023
- Author(s)
  岡　康之
- Organizer
  第119回岐阜数理科学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K03333

1. 平山浩之 (90748328)

# of Collaborated Projects: 1 results

# of Collaborated Products: 3 results

Oka Yasuyuki 岡康之

Research Projects

Research Products

Co-Researchers

時空積分評価に基づくハイゼンベルグ群上の非線形分散型方程式の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Solvability of nonlinear evolution equations with Lie group structurePrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] Existence and uniqueness results for the Cauchy problem of generalized Burgers type equations on stratified Lie groups2025

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Existence and Uniqueness for the Cauchy Problem of Semilinear Heat Equations on Stratified Lie Groups in the Critical Sobolev Space2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Results of existence and uniqueness for the Cauchy problem of semilinear heat equations on stratified Lie groups2024

Author(s)

Journal Title

DOI

Data Source

[Presentation] Results of existence and uniqueness for the Cauchy problem of semilinear heat equations on stratified Lie groups2023

Author(s)

Organizer

Data Source

Oka Yasuyuki 岡 康之

Research Projects

Research Products

Co-Researchers

時空積分評価に基づくハイゼンベルグ群上の非線形分散型方程式の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Solvability of nonlinear evolution equations with Lie group structurePrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] Existence and uniqueness results for the Cauchy problem of generalized Burgers type equations on stratified Lie groups2025

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Existence and Uniqueness for the Cauchy Problem of Semilinear Heat Equations on Stratified Lie Groups in the Critical Sobolev Space2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Results of existence and uniqueness for the Cauchy problem of semilinear heat equations on stratified Lie groups2024

Author(s)

Journal Title

DOI

Data Source

[Presentation] Results of existence and uniqueness for the Cauchy problem of semilinear heat equations on stratified Lie groups2023

Author(s)

Organizer

Data Source

Oka Yasuyuki 岡康之