MEGUMI SANO

Last Updated :2021/05/10

Affiliations, Positions
Graduate School of Advanced Science and Engineering, Associate Professor
E-mail
smegumihiroshima-u.ac.jp

Basic Information

Major Professional Backgrounds

  • 2018/04/01, 2019/03/31, Tokyo Institute of Technology, Department of Mathematics, Research Fellowship for Young Scientists PD
  • 2016/04/01, 2018/03/31, Osaka City University, Department of Mathematics, Research Fellowship for Young Scientists DC2

Academic Degrees

  • Osaka City University
  • Osaka City University

Educational Activity

  • 【Bachelor Degree Program】School of Engineering : Cluster 2(Electrical, Electronic and Systems Engineering)
  • 【Master's Program】Graduate School of Advanced Science and Engineering : Division of Advanced Science and Engineering : Electrical, Systems, and Control Engineering Program
  • 【Doctoral Program】Graduate School of Advanced Science and Engineering : Division of Advanced Science and Engineering : Electrical, Systems, and Control Engineering Program

Research Fields

  • Mathematical and physical sciences;Mathematics;Mathematical analysis

Research Keywords

  • Variational problem, Hardy's inequality, optimal constant, Nonlinear partial differential equation, non-compactness

Affiliated Academic Societies

Educational Activity

Course in Charge

  1. 2021, Liberal Arts Education Program1, 2Term, Seminar in Basic Mathematics I
  2. 2021, Undergraduate Education, 1Term, Applied Mathematics II
  3. 2021, Graduate Education (Master's Program) , 1Term, Special Exercises on Electorical, Systems, and Control Engineering A
  4. 2021, Graduate Education (Master's Program) , 2Term, Special Exercises on Electorical, Systems, and Control Engineering A
  5. 2021, Graduate Education (Master's Program) , 3Term, Special Exercises on Electorical, Systems, and Control Engineering B
  6. 2021, Graduate Education (Master's Program) , 4Term, Special Exercises on Electorical, Systems, and Control Engineering B
  7. 2021, Graduate Education (Master's Program) , Academic Year, Special Study on Electorical, Systems, and Control Engineering
  8. 2021, Graduate Education (Master's Program) , 2Term, Mathematics A
  9. 2021, Graduate Education (Doctoral Program) , Academic Year, Special Study on Electorical, Systems, and Control Engineering

Research Activities

Academic Papers

  1. ★, Minimization problem associated with an improved Hardy-Sobolev type inequality, Nonlinear Analysis, 200(2020), 20200520
  2. ★, Extremal functions of generalized critical Hardy inequalities, JOURNAL OF DIFFERENTIAL EQUATIONS, 267(4), 2594-2615, 20190805
  3. Weighted Hardy's inequality in a limiting case and the perturbed Kolmogorov equation, Appl. Anal., 98(10), 1875-1888, 20190727
  4. Scaling invariant Hardy type inequalities with non-standard remainder terms, Math. Inequal. Appl., 21(1), 77-90, 2018
  5. Some improvements for a class of the Caffarelli-Kohn-Nirenberg inequalities, Differential Integral Equations, 31(1-2), 57-74, 201801
  6. ★, Strauss's radial compactness and nonlinear elliptic equation involving a variable critical exponent, J. Funct. Spaces, 2018, 1-13, 2018
  7. ★, Scale invariance structures of the critical and the subcritical Hardy inequalities and their improvements, Calc. Var. Partial Differential Equations, 56(3), 56-69, 20170426
  8. Sublinear eigenvalue problems with singular weights related to the critical Hardy inequality, Electron. J. Differential Equations, 2016(2012), 1-12, 20160810
  9. Improved Rellich type inequalities in R^N, Geometric properties for parabolic and elliptic PDE's, Springer Proc. Math. Stat., 176, 241-255, 20160809
  10. A mean value property for polycaloric functions, Sci. Math. Jpn., 78(1), 103-112, 20150601

Invited Lecture, Oral Presentation, Poster Presentation

  1. Strauss's radial compactness and nonlinear elliptic equation involving a variable critical exponent, Sano, Megumi, 2019/11, With Invitation, Japanese, Hiroshima University
  2. Minimization problem associated with an improved Hardy-Sobolev inequality, Sano, Megumi, 2019 International Workshop on PDEs and Applications, 2019/10, With Invitation, English, Jeju National University
  3. A limiting case of the Hardy type inequalities via extrapolation method, Megumi Sano, RIMS workshop ``Geometric Aspects of Solutions to Partial Differential Equations", 2019/06, With Invitation, English, RIMS
  4. A limiting case of the Hardy type inequalities via extrapolation method, Sano, Megumi, Workshop on Nonlinear PDE in Numazu, 2019/06, With Invitation, Japanese
  5. A limiting case of the Hardy type inequalities via extrapolation method, Megumi Sano, 6th Italian-Japanese Workshop on Geometric Properties for Parabolic and Elliptic PDE's, 2019/05, With Invitation, English, Gaeta, Italy
  6. A limiting case of the Hardy type inequalities via extrapolation method, Megumi Sano, NLPDE Seminar, 2019/05, With Invitation, Japanese, Kyoto University
  7. Minimization problems associated with embedding of the critical Sobolev spaces, Megumi Sano, Minisymposium ``Qualitative properties of solutions to Elliptic and Parabolic PDEs and related topics" at ``International Conference on Elliptic and Parabolic Problems", 2019/05, With Invitation, English, Italy
  8. Minimization problems associated with embedding of the critical Sobolev spaces, Megumi Sano, 2019/03, With Invitation, Japanese, Nagoya University
  9. Strauss's radial compactness and its application to nonlinear elliptic problem with variable critical exponent, Megumi Sano, The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, 2018/07, With Invitation, English, National Taiwan University
  10. Strauss's radial compactness and nonlinear elliptic equation involving a variable critical exponent, Megumi Sano, 2017/10, With Invitation, Japanese, Osaka University
  11. Sharp critical Rellich inequality in four dimension, Megumi Sano, Analysis Seminar, 2017/10, With Invitation, English, University of Napoli Federico II
  12. Strauss's radial compactness and nonlinear elliptic equation involving a variable critical exponent, Megumi Sano, CIME Summer School on "Geometry of PDE's and related problems", 2017/06, With Invitation, English, Italy

Awards

  1. 2015/07, Award for Young Mathematicians, KNU-OCU-PNU joint workshop

External Funds

Acceptance Results of Competitive Funds

  1. Grant-in-Aid for Young Scientists, 2019/04/01, 2023/03/31
  2. Grant-in-Aid for Scientific Research (B), 2019/04/01, 2023/03/31
  3. Research Fellowship for Young Scientists, 2018/04/01, 2019/03/31
  4. Grant-in-Aid for Scientific Research (A), 2017/04/01, 2022/03/31
  5. Research Fellowship for Young Scientists, 2016/04/01, 2018/03/31