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Academic OrganizationAcademic Assembly School of Science and Technology Institute of ScienceTEL
Education and Research OrganizationFaculty of Science Department of MathematicsFAX
PositionAssociate ProfessorMail
Address3-1-1, Asahi, Matsumoto City 390-8621Web site


Research Field
Harmonic Analysis
Partial Differential Equations
Current Subject
Study of equations in fluid dynamics by harmonic analysis techniques
Keywords:Navier-Stokes equations
Sparse dominations for several operators
Keywords:Sparse domination
Academic Societies
Academic Societies
The Mathematical Society of Japan
Academic Background
Graduate School
Osaka University , (Department of Mathematics , Graduate School of Science) , 2011

Ehime University , 2006

Osaka University
Research Career
Research Career
2014-2015 , Project Assistant Professor
2012-2014 , JSPS fellow
2011-2012 , Research supporter
2011-2011 , Researcher

Overseas Education
2012-2013 , University of Bonn, Germany
2011-2011 , Friedrich-Schiller University, Jena, Germany


Books, Articles, etc.
Equivalence of BMO-type Norms with Applications to the Heat and Stokes Semigroups
Potential Anal,49(1):105-130 2018
Author:M. Bolkart, Y. Giga, T. Suzuki and Y. Tsutsui

On analyticity of the Lp-stokes semigroup for some non-Helmholtz domains
Math. Nachr.,290(16):2524–2546 2017
Author:M. Bolkart, Y. Giga, T.-H. Miura, T. Suzuki and Y. Tsutsui

Time periodic strong solutions to the incompressible Navier-Stokes equations with external forces of non-divergence form
Journal of Differential Equations,263(12):8229–8263 2017
Author:Takahiro Okabe and Yohei Tsutsui
Keywords:Navier-Stokes equations

Bounded global solutions to a Keller-Segel system with non-diffusive chemical in Rn
J. Evol. Equ.,,17:627-640 2017
Author:Yohei Tsutsui

Navier-Stokes flow in the weighted Hardy space with applications to time decay problem
J. Differential Equations,261(3):1712-1755 2016
Author:Takahiro Okabe and Yohei Tsutsui

Trace operators on Wiener amalgam spaces
Journal of Function Spaces 2016
Author:Jayson Cunanan and Yohei Tsutsui

Div - curl lemma with critical power weights in dimension three
Math. Nachr.,289(2-3):360-376 2016
Author:Yohei Tsutsui
Keywords:Navier-Stokes equations

Variable Lebesgue norm estimates for BMO functions II
Anal. Math.,40(3):215-230 2014
Author:Mistuo Izuki, Yoshihiro Sawano, Yohei Tsutsui

Global solutions to a chemotaxis system with non-diffusive memory
J. Math. Anal. Appl.,410(2):908-917 2014
Author:Yoshie Sugiyama, Juan J.L. Velazquez, Yohei Tsutsui

An application of weighted Hardy spaces to the Navier-Stokes equations
J. Funct. Anal.,266(3):1395-1420 2014
Author:Yohei Tsutsui

$A_∞$ constants between BMO and weighted BMO
Proc. Japan Acad. Ser. A Math. Sci.,90(1):11-14 2014
Author:Yohei Tsutsui

The Navier-Stokes equations and weak Herz spaces
Adv. Differential Equations,16(11-12):1049-1085 2011
Author:Yohei Tsutsui

Sharp maximal inequalities and its applications to some bilinear estimates,
J. Fourier Anal. Appl.,17(2):265-289 2011
Author:Yohei Tsutsui

Pseudo-differential operators of class $S^m_{0,0}$ on the Herz-type spaces
Hokkaido Math.J.,38(2):283-302 2009
Author:Yohei Tsutsui

Research Grants
Grants‐in‐aid for Scientific Research(Research Representative)
実解析学と偏微分方程式への応用 , 特別研究員奨励費
2019 - 2023 , Sparse domination を中心とした実解析学 , 基盤研究(C)
2015 - 2018 , 実解析学と偏微分方程式の相互的研究 , 若手研究(B)

Grants‐in‐aid for Scientific Research(Researcher)
実関数論的手法による調和解析とその応用 , 基盤研究(B)
2018 - 2022 , 流体力学の近代数学解析 , 国際共同研究加速基金(国際共同研究強化(B))
2016 - 2019 , 実関数論の方法による調和解析とその応用 , 基盤研究(B)



Social Activities

Social Activitie
Organization of Conferences and/or Symposia
20180216 - 20180217 , Sparse bound 勉強会 , 共催
20160824 - 20160828 , Harmonic Analysis and its Applications in Matsumoto 2016, summer , 主催
20160701 - 20160705 , Special session SS119 "Geometric functional inequalities and application to PDEs" of The 11th AIMS Conference on Dynamical Systems, DifferentialEquations and Applications , 共催
20160215 - 20160219 , Harmonic Analysis and its Applications in Matsumoto 2016, winter , 主催
20151127 - 20151129 , Harmonic Analysis and its Applications in Tokyo 2015 , 共催