## 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
- 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

- 2024, Undergraduate Education, 1Term, Introduction to Mathematics
- 2024, Liberal Arts Education Program1, 1Term, Introductory Seminar for First-Year Students
- 2024, Undergraduate Education, 1Term, Advanced Mathematics
- 2024, Undergraduate Education, 3Term, Exercises in Analysis C
- 2024, Undergraduate Education, 3Term, Analysis D
- 2024, Undergraduate Education, 3Term, Exercises in Analysis D
- 2024, Undergraduate Education, 4Term, Topics in Analysis
- 2024, Undergraduate Education, First Semester, Special Study of Mathematics and Informatics for Graduation
- 2024, Undergraduate Education, Second Semester, Special Study of Mathematics and Informatics for Graduation
- 2024, Graduate Education (Master's Program) , Academic Year, Seminar on Real Analysis and Functional Equations
- 2024, Graduate Education (Master's Program) , 4Term, Topics in Mathematical Analysis C

## Research Activities

### Academic Papers

- MULTIPLICITY OF SINGULAR SOLUTIONS TO A CLASS OF SEMILINEAR ELLIPTIC EQUATIONS, MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 90, 97-110, 2023
- Singular solutions for semilinear elliptic equations with general supercritical growth, ANNALI DI MATEMATICA PURA ED APPLICATA, 202(1), 341-366, 202302
- Blow-up criteria for the classical Keller-Segel model of chemotaxis in higher dimensions, JOURNAL OF DIFFERENTIAL EQUATIONS, 297, 144-174, 20211005
- 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), 202010
- Asymptotically self-similar behaviour of global solutions for semilinear heat equations with algebraically decaying initial data, Proc. Roy. Soc. Edinburgh, 150, 789-811, 2020
- 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
- Singular extremal soluitons for supercritical elliptic equations in a ball, J. Differential Equations, 265, 2842-2885, 2018
- 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
- Singular extremal solutions for supercritical elliptic equations in a ball, Journal of Differential Equations, 265(7), 2842-2885, 20181005
- SEPARATION STRUCTURE OF RADIAL SOLUTIONS FOR SEMILINEAR ELLIPTIC EQUATIONS WITH EXPONENTIAL NONLINEARITY, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 38(9), 4537-4554, 201809
- Rectifiable and nonrectifiable solution curves of half-linear differential systems, Mathematica Slovaca, 68(3), 575-590, 20180626
- A priori bounds for superlinear elliptic equations with semidefinite nonlinearity, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 151, 18-40, 201703
- GLOBAL ATTRACTIVITY AND CONVERGENCE RATE IN THE WEIGHTED NORM FOR A SUPERCRITICAL SEMILINEAR HEAT EQUATION, DIFFERENTIAL AND INTEGRAL EQUATIONS, 28(7-8), 777-800, 201507
- A remark on self-similar solutions for a semilinear heat equation with critical Sobolev exponent, NONLINEAR DYNAMICS IN PARTIAL DIFFERENTIAL EQUATIONS, 64, 461-468, 2015
- Existence and separation of positive radial solutions for semilinear elliptic equations, JOURNAL OF DIFFERENTIAL EQUATIONS, 257(7), 2430-2463, 201410
- Convergence rate in the weighted norm for a semilinear heat equation with supercritical nonlinearity, Kodai Mathematical Journal, 37(3), 646-667, 2014
- Bounded and unbounded oscillating solutions to a parabolic-elliptic system in two dimensional space, Communications on Pure and Applied Analysis, 12(5), 1861-1880, 201309
- Fractal oscillations near the domain boundary of radially symmetric solutions of p-Laplace equations, Contemporary Mathematics, 601, 325-343, 2013
- Characterization for rectifiable and nonrectifiable attractivity of nonautonomous systems of linear differential equations, International Journal of Differential Equations, 2013, 2013
- The role of forward self-similar solutions in the Cauchy problem for semilinear heat equations, JOURNAL OF DIFFERENTIAL EQUATIONS, 253(11), 3029-3060, 201212
- BLOW-UP BEHAVIOR OF SOLUTIONS TO A PARABOLIC-ELLIPTIC SYSTEM ON HIGHER DIMENSIONAL DOMAINS, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 32(10), 3691-3713, 201210
- Classification of second-order linear differential equations and an application to singular elliptic eigenvalue problems, BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 44, 545-562, 201206
- Non-homogeneous semilinear elliptic equations involving critical Sobolev exponent, ANNALI DI MATEMATICA PURA ED APPLICATA, 191(1), 25-51, 201201
- Non-homogeneous semilinear elliptic equations involving critical Sobolev exponent, ANNALI DI MATEMATICA PURA ED APPLICATA, 191(1), 25-51, 201201
- OSCILLATING SOLUTIONS TO A PARABOLIC-ELLIPTIC SYSTEM RELATED TO A CHEMOTAXIS MODEL, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 31, 1111-1118, 201109
- 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
- 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
- Sharp conditions for the existence of sign-changing solutions to equations involving the one-dimensional p-Laplacian, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 69(9), 3070-3083, 200811
- Self-similarity in chemotaxis systems, Colloquium Mathematicum, 111(1), 11-34, 2008
- Self-similar solutions for a semilinear heat equation with critical Sobolev exponent, INDIANA UNIVERSITY MATHEMATICS JOURNAL, 57(3), 1283-1315, 2008
- Positive solutions for semilinear elliptic equations with singular forcing terms, JOURNAL OF DIFFERENTIAL EQUATIONS, 235(2), 439-483, 200704
- 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
- Existence of type II blowup solutions for a semilinear heat equation with critical nonlinearity, JOURNAL OF DIFFERENTIAL EQUATIONS, 232(1), 176-211, 200701
- Asymptotically self-similar solutions for the parabolic systems modelling chemotaxis, Banach Center Publ.Self-similar solutions of nonlinear PDE,, 74, 149-160, 2006
- An ODE approach to the multiplicity of self-similar solutions for semi-linear heat equations, PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 136(4), 807-835, 2006
- Non-uniqueness of solutions to the Cauchy problem for semilinear heat equations with singular initial data, MATHEMATISCHE ANNALEN, 329(1), 161-196, 200405
- On the existence of multiple solutions of the boundary value problem for nonlinear second-order differential equations, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 56(6), 919-935, 200403
- Self-similar solutions to a nonlinear parabolic-elliptic system, Taiwanese Journal of Mathematics, 8(1), 43-55, 2004
- Self-similar solutions to a parabolic system modeling chemotaxis, JOURNAL OF DIFFERENTIAL EQUATIONS, 184(2), 386-421, 200209
- Symmetry results for semilinear elliptic equations in R-2, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 47(6), 3661-3670, 200108
- Oscillation criteria for quasilinear elliptic equations, Nonlinear Analysis, Theory, Methods and Applications, 46(5), 629-652, 2001
- Existence of self-similar solutions to a parabolic system modelling chemotaxis, JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 17(3), 427-451, 200010
- Nonexistence results of positive solutions for semilinear elliptic equations in R-n, JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 52(3), 637-644, 200007
- Radial symmetry of self-similar solutions for semilinear heat equations, JOURNAL OF DIFFERENTIAL EQUATIONS, 163(2), 407-428, 200005
- Radial symmetry of positive solutions for semilinear elliptic equations in R^n, Journal of the Korean Mathematical Society, 37(5), 751-761, 2000
- A note on the moving sphere method, PACIFIC JOURNAL OF MATHEMATICS, 189(1), 107-115, 199905
- A note on radial symmetry of positive solutions for semilinear elliptic equations in R^n, Differential Integral Equations, 11(6), 835-845, 1998
- Radial symmetry of positive solutionsfor semilinear elliptic equations on the unit ball in R^n, Funkcial. Ekvac., 41(2), 215-234, 1998
- Oscillation and nonoscillation criteria for second order quasilinear differential equations, ACTA MATHEMATICA HUNGARICA, 76(1-2), 81-99, 199707
- Nonexistence results of positive entire solutions for quasilinear elliptic inequalities, CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 40(2), 244-253, 199706
- Nonexistence results of positive entire solutions for quasilinear elliptic inequalities, CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 40(2), 244-253, 199706
- Entire solutions of the inequality div(A(vertical bar Du vertical bar)Du)>=f(u), MATHEMATISCHE ZEITSCHRIFT, 225(1), 167-175, 199705
- Oscillation theory for semilinear elliptic equations with arbitrary nonlinearities, Funkcial. Ekvac., 40(1), 41-55, 1997
- Radial symmetry of positive solutionsfor semilinear elliptic equations in a disc, Hiroshima Math. J., 26(3), 531-545, 1996
- Uniqueness of positive solutions of quasilinear differential equations, Differential and Integral Equations, 8(7), 1813-1822, 1995
- A note on the existence of nonoscillatory solutions of neutraldifferential equations, Hiroshima Math. J., 25(3), 513-518, 1995
- Damped oscillation of solutions for some nonlinear second order ordinary differential equations, Adv. Math. Sci. Appl., 5(1), 239-248, 1995
- EXISTENCE AND ASYMPTOTIC-BEHAVIOR OF POSITIVE SOLUTIONS OF NEUTRAL DIFFERENTIAL-EQUATIONS, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 188(1), 227-244, 199411
- Strong oscillation and nonoscillation of quasilinear differential equations of second order, Differential Equations and Dynamical Systems, 2(1), 1-10, 1994
- Bounded solutions with prescribed numbers of zeros for the Emden-Fowler differential equation, Hiroshima Math. J., 24(1), 177-220, 1994
- Solutions with prescribed numbers of zeros for nonlinear second order differential equations, Funkcial. Ekvac., 37(3), 505-520, 1994
- Radial entire solutions of a class of sublinear elliptic equations, Adv. Math. Sci. Appl., 21(1), 231-243, 1993
- Asymptotic behavior of decaying nonoscillatory solutions of neutral differential equations, Funkcial. Ekvac., 35(1), 95-110, 1992
- Nonoscillatory solutions of neutral differential equations, Hiroshima Math. J., 20(2), 231-258, 1990