Profile Information

Affiliation
Shibaura Institute of Technology Department of Mathematical Sciences, College of Systems Engineering and Science Professor
Degree
Doctor of Science(Waseda University)

Researcher number
00333021
ORCID ID
 https://orcid.org/0000-0003-3053-468X
J-GLOBAL ID
200901059798883138

External link

I moved to Shibaura Institute of Technology in April 2011. In the northern half of the Omiya campus there is an original forest left, which is a very pleasant environment for me, who is living in a city. Among them, the building of the department of mathematical sciences is located in the closest place to the primeval forest, and it is very exciting to me, who love insects. I am healed by the sound of cicadas that can be heard especially at dusk of the summer. My hobbies include fishing, swimming, history walks, caring for turtles.

I study the p-Laplacian, which generalizes Laplacian. The p-Laplacian is a typical nonlinear operator with degeneracy-singularity and has been studied mathematically since ancient times. I had previously dreamed of building a dynamical system theory of parabolic partial differential equations with degeneracy-singularty and was studying a reaction-diffusion equation with the p-Laplacian as its model case. While studying the influence of degeneracy-singularity on the shape of solution from the viewpoint of free boundary problem and infinite dimensional dynamical system, I came to the idea that the p-Laplacian's eigenvalue problem is essential. Therefore, recently, I am doing something like classical analysis to investigate the properties and applications of generalized trigonometric functions, which are eigenfunctions of the p-Laplacian, and elliptic integrals and Jacobi elliptic functions generalized by using them. Unexpectedly, Ramanujan formulas of hypergeometric function are useful and relationships with number theory are getting visible, and I am feeling that I wandered into "mathematical" primeval forest.

Awards

  1

Papers

  29

Misc.

  31
  • Shingo Takeuchi
    Mathematical Reviews Feb 25, 2021  
  • Shingo Takeuchi
    Mathematical Reviews Feb 25, 2021  
  • Shingo Takeuchi
    Mathematical Reviews Sep 9, 2019  
  • Shingo Takeuchi
    Mathematical Reviews Jul 25, 2019  
  • Shingo Takeuchi
    Mathematical Reviews Mar 19, 2019  
  • Shingo Takeuchi
    Mathematical Reviews Jan 18, 2018  
  • Shingo Takeuchi
    Mathematical Reviews Dec 22, 2017  
  • Shingo Takeuchi
    Mathematical Reviews Dec 5, 2017  
  • Shingo Takeuchi
    Mathematical Reviews Oct 11, 2017  
  • Shingo Takeuchi
    RIMS Kôkyûroku 2032 76 - 100 Jun, 2017  Invited
  • Shingo Takeuchi
    Mathematical Reviews Jan 27, 2017  
  • Shingo Takeuchi
    Mathematical Reviews Oct 28, 2016  
  • Shingo Takeuchi
    Mathematical Reviews Jun 28, 2016  
  • Shingo Takeuchi
    Mathematical Reviews May 2, 2016  
  • Shingo Takeuchi
    Mathematical Reviews Dec 9, 2015  
  • Shingo Takeuchi
    Mathematical Reviews Nov 16, 2015  
  • Shingo Takeuchi
    Mathematical Reviews May 6, 2015  
  • Shingo Takeuchi
    Mathematical Reviews Apr 16, 2015  
  • Shingo Takeuchi
    Mathematical Reviews Nov 1, 2013  
  • Shingo Takeuchi
    RIMS Kôkyûroku 1838 71 - 101 Jun, 2013  Invited

Presentations

  108

Books and Other Publications

  14

Professional Memberships

  3

Research Projects

  13

Social Activities

  16