Miyazaki Yoichi 宮崎洋一

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MIYAZAKI Yoichi 宮崎洋一

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Researcher Number	10219769
Other IDs
Affiliation (Current)	2026: 日本大学, 歯学部, 特任教授
Affiliation (based on the past Project Information) *help	2016: 日本大学, 歯学部, 教授 2013 – 2015: 日本大学, 歯学部, 准教授 2011 – 2012: 日本大学, 歯学部, 講師
Review Section/Research Field	Principal Investigator Basic analysis
Keywords	Principal Investigator 解析半群 / ヘルダー空間 / 楕円型微分作用素 / ディリクレ境界条件 / Lp理論 / レゾルベント / グリーン関数 / シャウダー理論 / 境界値問題 / 熱核 … More / リウヴィルの定理 / 楕円型方程式 / ディリクレ境界値問題 / トレース定理 / 滑らかでない境界 / ヘルダー連続 / ラプラシアン / 正則性定理 / ヘルダ－空間 / ソボレフ空間 / 楕円型作用素 / resolvent / heat kernel / Dirichlet problem / regularity / asymptotic behavior / eigenfunction / Dirichlet condition / Hoelder-Zygmund space / Sobolev space / regularity theorem / elliptic operator Less

Research Projects
(1 results)
Research Products
(15 results)

Theory and application of divergence form elliptic operatorsPrincipal Investigator
- Principal Investigator
  
  MIYAZAKI Yoichi
- Project Period (FY)
  2011 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Nihon University

All 2016 2014 2013 2012 2011 Other

All Journal Article Presentation

[Journal Article] Sobolev trace theorem and the Dirichlet problem in a ball2016
- Author(s)
  Yoichi Miyazaki
- Journal Title
  
  International Journal of Mathematical Analysis
  
  Volume: 10 Pages: 1173-1188
- DOI
  10.12988/ijma.2016.6899
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-23540225
[Journal Article] Boundary behavior of Dirichlet eigenfunctions for a ball2016
- Author(s)
  Yoichi Miyazaki
- Journal Title
  
  Transactions of Nihon University School of Dentistry
  
  Volume: 44 Pages: 65-68
- NAID
  40021129922
- Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-23540225
[Journal Article] Another method to evaluate Green functions for elliptic equations2014
- Author(s)
  Yoichi Miyazaki
- Journal Title
  
  Int. Journal of Math. Analysis
  
  Volume: 8 Pages: 1151-1159
- DOI
  10.12988/ijma.2014.44107
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23540225
[Journal Article] Sobolev trace theorem and the Dirichlet problem in the unit disk2014
- Author(s)
  Yoichi Miyazaki
- Journal Title
  
  Milan J. Math.
  
  Volume: 82 Issue: 2 Pages: 297-312
- DOI
  10.1007/s00032-014-0222-x
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23540225
[Journal Article] Liouville's theorem and heat kernels2014
- Author(s)
  Yoichi Miyazaki
- Journal Title
  
  Expositiones Mathematicae
  
  Volume: 未定 Issue: 1 Pages: 101-104
- DOI
  10.1016/j.exmath.2014.02.001
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540225
[Journal Article] Schauder theory for Dirichlet elliptic operators in divergence form2013
- Author(s)
  Y. Miyazaki
- Journal Title
  
  Journal of Evolution Equations
  
  Volume: 未定 Issue: 2 Pages: 443-480
- DOI
  10.1007/s00028-013-0186-2
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540225
[Journal Article] Asymptotic behavior of normal derivatives of eigenfunctions for the Dirichlet Laplacian2012
- Author(s)
  Y. Miyazaki
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 388 Issue: 1 Pages: 205-218
- DOI
  10.1016/j.jmaa.2011.11.017
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540225
[Journal Article] Norm estimates and integral kernel estimates for bounded operators in Sobolev spaces2011
- Author(s)
  Y. Miyazaki
- Journal Title
  
  Proc. Japan Acad. Ser. A
  
  Volume: 87 Issue: 10 Pages: 186-191
- DOI
  10.3792/pjaa.87.186
- NAID
  40019133695
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540225
[Presentation] 楕円型方程式の正則性定理と領域の滑らかさ2014
- Author(s)
  宮崎洋一
- Organizer
  解析学火曜セミナー
- Place of Presentation
  東京大学数理科学研究科128号室(東京都・目黒区)
- Year and Date
  2014-05-27
- Invited
- Data Source
  KAKENHI-PROJECT-23540225
[Presentation] 発散形楕円型作用素のシャウダー理論2011
- Author(s)
  宮崎洋一
- Organizer
  日本数学会秋学総合分科会
- Place of Presentation
  信州大学(長野県)
- Data Source
  KAKENHI-PROJECT-23540225
[Presentation] Heat asymptotics for Dirichlet elliptic operators2011
- Author(s)
  宮崎洋一
- Organizer
  神楽坂解析セミナー(招待講演)
- Place of Presentation
  東京理科大学(東京都)
- Data Source
  KAKENHI-PROJECT-23540225
[Presentation] ソボレフ空間の複素補間の入門的考察
- Author(s)
  宮崎洋一
- Organizer
  日本数学会2014年会実函数論分科会
- Place of Presentation
  学習院大学（東京都）
- Data Source
  KAKENHI-PROJECT-23540225
[Presentation] Ho"lder regularity theorem for elliptic equations in a non-smooth domain
- Author(s)
  Yoichi Miyazaki
- Organizer
  Sapporo Symposium on Partial Differential Equations (satellite conference of Seoul ICM 2014)
- Place of Presentation
  北海道大学理学部5号館大講堂(北海道・札幌市)
- Year and Date
  2014-08-25 – 2014-08-27
- Data Source
  KAKENHI-PROJECT-23540225
[Presentation] 楕円型作用素のレゾルベント核の評価法
- Author(s)
  宮崎洋一
- Organizer
  日本数学会秋季総合分科会　実函数論分科会
- Place of Presentation
  九州大学（福岡県）
- Data Source
  KAKENHI-PROJECT-23540225
[Presentation] 楕円型方程式のLp正則性定理と領域の滑らかさ
- Author(s)
  宮崎洋一
- Organizer
  日本数学会年会　函数方程式論分科会
- Place of Presentation
  京都大学（京都府）
- Data Source
  KAKENHI-PROJECT-23540225

Miyazaki Yoichi 宮崎 洋一

MIYAZAKI Yoichi 宮崎 洋一

Research Projects

Research Products

Theory and application of divergence form elliptic operatorsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Sobolev trace theorem and the Dirichlet problem in a ball2016

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Boundary behavior of Dirichlet eigenfunctions for a ball2016

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Another method to evaluate Green functions for elliptic equations2014

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Sobolev trace theorem and the Dirichlet problem in the unit disk2014

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Liouville's theorem and heat kernels2014

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Schauder theory for Dirichlet elliptic operators in divergence form2013

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Asymptotic behavior of normal derivatives of eigenfunctions for the Dirichlet Laplacian2012

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Norm estimates and integral kernel estimates for bounded operators in Sobolev spaces2011

Author(s)

Journal Title

DOI

NAID

Data Source

[Presentation] 楕円型方程式の正則性定理と領域の滑らかさ2014

Author(s)

Organizer

Place of Presentation

Year and Date

Data Source

[Presentation] 発散形楕円型作用素のシャウダー理論2011

Author(s)

Organizer

Place of Presentation

Data Source

[Presentation] Heat asymptotics for Dirichlet elliptic operators2011

Author(s)

Organizer

Place of Presentation

Data Source

[Presentation] ソボレフ空間の複素補間の入門的考察

Author(s)

Organizer

Place of Presentation

Data Source

[Presentation] Ho"lder regularity theorem for elliptic equations in a non-smooth domain

Author(s)

Organizer

Place of Presentation

Year and Date

Data Source

[Presentation] 楕円型作用素のレゾルベント核の評価法

Author(s)

Miyazaki Yoichi 宮崎洋一

MIYAZAKI Yoichi 宮崎洋一