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Researcher Information

last modified：2022/10/27

Associate Professor　Hidemitsu Wadade

Mail

Faculty, Affiliation

Faculty of Mechanical Engineering, Institute of Science and Engineering

College and School Educational Field

Division of Mechanical Science and Engineering, Graduate School of Natural Science and Technology
Division of Mechanical Science and Engineering, Graduate School of Natural Science and Technology
Course in Mechanical Sciences, School of Mechanical Engineering, College of Science and Engineering

Laboratory

　TEL:076-264-643

Academic Background

Career

Year & Month of Birth

1980/01

Academic Society

Award

○Fukuhara Prize(2016/12/17)
○Fukuhara Prize(2016/12/17)
○Fukuhara Prize(2016/12/17)

Specialities

Real Analysis, Functional Equations

Speciality Keywords

Real Analysis, Harmonic Analysis, Functional Equations, Functional Spaces, Variational methods

Research Themes

Variational analysis for the elliptic PDEs associated with critical functional inequalities

Books

Papers

  • 　Optimal embeddings of critical Sobolev-Lorentz-Zygmund spaces　Hidemitsu Wadade　Studia Mathematica　223　1　77-95　2014　
  • 　Scaling invariant Hardy inequalities of multiple logarithmic type on the whole space　Shuji Machihara, Tohru Ozawa, Hidemitsu Wadade　Journal of Inequalities and Applications　2015:281　2015
  • 　Remarks on the Cauchy problem of Klein-Gordon equation with a weighted nonlinear term　Michinori Ishiwata, Makoto Nakamura, Hidemitsu Wadade　Discrete and Continuous Dynamical Systems - Series A　35　4889-4903　2015
  • 　On the effect of equivalent constraints on a maximizing problem associated with the Sobolev type embeddings in R^N　Michinori Ishiwata, Hidemitsu Wadade　Mathematische Annalen　364　1043-1068　2016
  • 　On the sharp constant for the weighted Trudinger-Moser type inequality of the scaling invariant form　Michinori Ishiwata, Makoto Nakamura, Hidemitsu Wadade　Annales de l'Institut Henri Poincare (C) Analyse non lineaire　31　 297-314　2014

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  • 　Generalizations of the logarithmic Hardy inequality in critical Sobolev-Lorentz spaces　Shuji Machihara, Tohru Ozawa, Hidemitsu Wadade　Journal of Inequalities and Applications　2013:381　2013
  • 　Quantitative estimates of embedding constants for Gagliardo-Nirenberg inequalities on critical Sobolev-Besov-Lorentz spaces　Hidemitsu Wadade　Journal of Fourier Analysis and Applications　19　1029-1059　2013
  • 　Hardy type inequalities on balls　Shuji Machihara, Tohru Ozawa, Hidemitsu Wadade　Tohoku Mathematical Journal　65　321-330　2013
  • 　On the Gagliardo-Nirenberg type inequality in the critical Sobolev-Morrey space　Yoshihiro Sawano, Hidemitsu Wadade　Journal of Fourier Analysis and Applications　19　20-47　2013

Conference Presentations

  • 全空間におけるTrudinger-Moser型不等式に付随した最大化問題について(conference：北海道大学月曜解析セミナー)(2016/06)
  • On the maximizing problem associated with Trudinger-Moser type inequalities(conference：Bifurcations and Asymptotic Analysis of Solutions of Nonlinear Models (Special Session 21 of AIMS Conference 2016))(2016/07)
  • On the maximizing problems associated with Trudinger-Moser type inequalities in the whole space(conference：International Workshop on Harmonic Analysis and its Applications in Beijing 2016)(2016/09)
  • 全空間におけるTrudinger-Moser型不等式に付随した最大化問題について(conference：大阪大学数学教室微分方程式セミナー)(2016/01)
  • 全空間上のTrudinger-Moser型不等式と関連する種々の臨界不等式について(conference：第606回応用解析研究会)(2015/06)

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  • Brezis-Gallouet-Wainger inequality of multiple logarithmic type(conference：調和解析セミナー)(2014/12)
  • Optimal embeddings on Sobolev-Lorentz-Zygmund spaces,(conference：第53回実函数論・函数解析学合同シンポジウム)(2014/09)
  • Maximizing problems associated with Trudinger-Moser type inequalities in the whole space(conference：第21回なかもず解析セミナー)(2014/07)
  • Maximizing problems associated with Trudinger-Moser type inequalities in the whole space(conference：第580回応用解析研究会)(2014/05)
  • 臨界空間上の対数型Hardy の不等式について(conference：三大学偏微分方程式セミナー)(2013/10)
  • Logarithmic Hardy inequalities on Sobolev-Lorentz-Zygmund spaces in the limiting case(conference：日本数学会実函数論分科会)(2013/09)
  • Generalizations of the logarithmic Hardy inequality in critical Sobolev-Lorentz spaces(conference：調和解析と非線形偏微分方程式RIMS研究集会)(2013/07)
  • 臨界Sobolev-Lorentz-Zygmund空間上の2重対数型Hardyの不等式について(conference：愛媛大学解析セミナー)
  • The limiting case of Sobolev embeddings on critical Sobolev-Lorentz-Zygmund spaces(conference：1110th AMS Meeting, Geometric Inequalities and Nonlinear Partial Differential Equations)(2015/04)
  • Maximizing problems associated with Trudinger-Moser type inequality on the whole space(conference：RISM WORKSHOP, Optimal Inequalities and PDE)(2014/12)
  • Optimal embeddings on Sobolev-Lorentz-Zygmund type spaces(conference：The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications)(2014/07)
  • Optimal embeddings on critical Sobolev-Lorentz-Zygmund spaces(conference：Kyoto University-Chung-Ang University Symposium, On Nonlinear Partial Differential Equations)(2014/03)
  • Optimal embeddings on critical Sobolev-Lorentz-Zygmund spaces(conference：The 15th Northeastern Symposium on Mathematical Analysis)(2014/02)
  • Logarithmic Hardy inequalities on Sobolev-Lorentz-Zygmund spaces in the limiting case(conference：1st East Asian Conference in Harmonic Analysis and Applications)(2013/10)

Others

Arts and Fieldwork

Patent

Theme to the desired joint research

Grant-in-Aid for Scientific Research

Competitive research funding,Contribution

Collaborative research,Consignment study

Classes (Bachelors)

○Presentation and Debate (Freshman Seminar II)(2017)
○Applied Mathematical Analysis A(2017)
○Theory of Fourier Analysis and Exercise(2017)
○Theory of Fourier Analysis and Exercise(2017)
○Applied Mathematical Analysis B(2017)
○Presentation and Debate (Freshman Seminar II)(2017)
○Freshman Seminar I(2017)
○Applied Mathematical Analysis(2016)
○Theory of Fourier Analysis and Exercise(2016)
○Theory of Fourier Analysis and Exercise(2016)
○Theory of Differential Equations and Exercise(2016)
○Applied Mathematical Analysis(2016)

Classes (Graduate Schools)

○Partial differential equations and their applications(2017)
○Partial differential equations and their applications(2017)
○Partial differential equations and their applications(2017)
○Partial differential equations and their applications(2017)
○Partial differential equations and their applications(2016)
○Methods of Applied Fourier Analysis A(2016)
○Methods of Applied Fourier Analysis B(2016)

International Project

International Students

Lecture themes

Others (Social Activities)

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