YUKI NAITO

Last Updated :2021/05/11

Affiliations, Positions
Professor
E-mail
yunaitohiroshima-u.ac.jp
Other Contact Details
Kagamiyama 1-3-1 Higashi-Hiroshima 739-8526, Japan
TEL : (+81)82-424-7339 FAX : (+81)
Self-introduction
My research area is the qualitative theory of nonlinear partial differential equatiotns. It is well known that exact solutions can not be derived for many differential equations. So we are interested in qualitative properties of solutions for differential equations. We will investigate the properties of solutions by employing various mathematical methods.

Basic Information

Major Professional Backgrounds

  • 1990/10/01, 1996/10, Hiroshima University, School of Science, Research Associate
  • 1996/11/01, 1999/02, Kobe University, School of Engineering, Lecturer
  • 1999/03/01, 2007/03/31, Kobe University, School of Engineering, Associate Professor
  • 2007/04/01, 2009/03/31, Kobe University, Graduate School of Engineering, Associate Professor
  • 2009/04/01, 2020/08/31, Ehime University, Professor
  • 2020/09/01, Hiroshima University, Graduate School of Advanced Science and Engineering, Professor

Educational Backgrounds

  • Hiroshima University, Graduate School of Science , Japan, 1989/04, 1990/09
  • Hiroshima University, Graduate School of Science , Japan, 1987/04, 1989/03
  • Hiroshima University, School of Science, Japan, 1983/04, 1987/03

Academic Degrees

  • Hiroshima University
  • Hiroshima University
  • Doctor of Science, Hiroshima University

In Charge of Primary Major Programs

  • Mathematics

Research Fields

  • Mathematical and physical sciences;Mathematics;Mathematical analysis

Research Keywords

  • Nonlinear Partial Differential Equations

Affiliated Academic Societies

  • The Mathematical Society of Japan
  • The Japan Society for Industrial and Applied Mathematics

Educational Activity

Course in Charge

  1. 2021, Liberal Arts Education Program1, 1Term, Introductory Seminar for First-Year Students
  2. 2021, Undergraduate Education, 4Term, Exercises in Analysis II
  3. 2021, Undergraduate Education, 3Term, Analysis D
  4. 2021, Undergraduate Education, 3Term, Exercises in Analysis D
  5. 2021, Undergraduate Education, 3Term, Topics in Analysis
  6. 2021, Undergraduate Education, First Semester, Special Study of Mathematics and Informatics for Graduation
  7. 2021, Undergraduate Education, Second Semester, Special Study of Mathematics and Informatics for Graduation
  8. 2021, Graduate Education (Master's Program) , 3Term, variational method and elliptic equations
  9. 2021, Graduate Education (Master's Program) , Academic Year, Seminar on Real Analysis and Functional Equations
  10. 2021, Graduate Education (Master's Program) , Academic Year, Seminar on Real Analysis and Functional Equations
  11. 2021, Graduate Education (Master's Program) , 2Term, Mathematical Omnibus
  12. 2021, Graduate Education (Master's Program) , 3Term, Topics in Mathematical Analysis A
  13. 2021, Graduate Education (Master's Program) , 3Term, Special Lectures in Mathematics
  14. 2021, Graduate Education (Master's Program) , Academic Year, Exercises in Mathematics
  15. 2021, Graduate Education (Master's Program) , First Semester, Exercises in Mathematics A
  16. 2021, Graduate Education (Master's Program) , Second Semester, Exercises in Mathematics B
  17. 2021, Graduate Education (Master's Program) , Academic Year, Seminar in Mathematics

Research Activities

Academic Papers

  1. Fundamental properties and asymptotic shapes of the singular and classical radial solutions for supercritical semilinear elliptic equations, NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 27(6), 2020
  2. Existence of peaking solutions for semilinear heat equations with blow-up profile above the singular steady state, Nonlinear Analysis, Theory, Methods and Applications, 181, 265-293, 20190401
  3. Asymptotically self-similar behaviour of global solutions for semilinear heat equations with algebraically decaying initial data, Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 20190101
  4. SEPARATION STRUCTURE OF RADIAL SOLUTIONS FOR SEMILINEAR ELLIPTIC EQUATIONS WITH EXPONENTIAL NONLINEARITY, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 38(9), 4537-4554, 201809
  5. Fractal oscillations near the domain boundary of radially symmetric solutions of p-Laplace equations, Contemporary Mathematics, 601, 325-343, 2013
  6. Existence and non-existence of sign-changing solutions for a class of two-point boundary value problems involving one-dimensional p-laplacian, Mathematica Bohemica, to appear, 175-184, 201106
  7. Self-similar blow-up for a chemotaxis system in higher dimensional domains, RIMS Kokyuroku BessatsuMathematical analysis on the self-organization and self-similarity, B15, 87--99, 2009
  8. A variational approach to self-similar solutions for semilinear heat equations, Advanced Studies in Pure Mathematics, Asymptotic Analysis and Singuralities, 47(2), 675-688, 2007
  9. Asymptotically self-similar solutions for the parabolic systems modelling chemotaxis, Banach Center Publ.Self-similar solutions of nonlinear PDE,, 74, 149-160, 2006
  10. Radial symmetry of positive solutions for semilinear elliptic equations in R^n, Journal of the Korean Mathematical Society, 37(5), 751-761, 2000
  11. A note on radial symmetry of positive solutions for semilinear elliptic equations in R^n, Differential Integral Equations, 11(6), 835-845, 1998
  12. Radial symmetry of positive solutionsfor semilinear elliptic equations on the unit ball in R^n, Funkcial. Ekvac., 41(2), 215-234, 1998
  13. Entire solutions of the inequality div(A(vertical bar Du vertical bar)Du)>=f(u), MATHEMATISCHE ZEITSCHRIFT, 225(1), 167-175, 199705
  14. Oscillation theory for semilinear elliptic equations with arbitrary nonlinearities, Funkcial. Ekvac., 40(1), 41-55, 1997
  15. Radial symmetry of positive solutionsfor semilinear elliptic equations in a disc, Hiroshima Math. J., 26(3), 531-545, 1996
  16. Uniqueness of positive solutions of quasilinear differential equations, Differential and Integral Equations, 8(7), 1813-1822, 1995
  17. A note on the existence of nonoscillatory solutions of neutraldifferential equations, Hiroshima Math. J., 25(3), 513-518, 1995
  18. Damped oscillation of solutions for some nonlinear second order ordinary differential equations, Adv. Math. Sci. Appl., 5(1), 239-248, 1995
  19. Strong oscillation and nonoscillation of quasilinear differential equations of second order, Differential Equations and Dynamical Systems, 2(1), 1-10, 1994
  20. Bounded solutions with prescribed numbers of zeros for the Emden-Fowler differential equation, Hiroshima Math. J., 24(1), 177-220, 1994
  21. Solutions with prescribed numbers of zeros for nonlinear second order differential equations, Funkcial. Ekvac., 37(3), 505-520, 1994
  22. Radial entire solutions of a class of sublinear elliptic equations, Adv. Math. Sci. Appl., 21(1), 231-243, 1993
  23. Asymptotic behavior of decaying nonoscillatory solutions of neutral differential equations, Funkcial. Ekvac., 35(1), 95-110, 1992
  24. Nonoscillatory solutions of neutral differential equations, Hiroshima Math. J., 20(2), 231-258, 1990