KENTARO HIRATA

Last Updated :2021/04/06

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

Basic Information

Academic Degrees

  • Doctor of Science, Shimane University
  • Master, Shimane University

Research Fields

  • Mathematical and physical sciences;Mathematics;Basic analysis

Research Keywords

  • Potential Theory

Affiliated Academic Societies

Educational Activity

Course in Charge

  1. 2021, Undergraduate Education, 1Term, Analysis B
  2. 2021, Undergraduate Education, 3Term, Analysis C
  3. 2021, Undergraduate Education, 3Term, Exercises in Analysis C
  4. 2021, Undergraduate Education, First Semester, Special Study of Mathematics and Informatics for Graduation
  5. 2021, Undergraduate Education, Second Semester, Special Study of Mathematics and Informatics for Graduation
  6. 2021, Graduate Education (Master's Program) , First Semester, Seminar of Complex Analysis and Functional Equation
  7. 2021, Graduate Education (Master's Program) , Second Semester, Seminar of Complex Analysis and Functional Equation
  8. 2021, Graduate Education (Master's Program) , 3Term, Topics in Mathematical Analysis A
  9. 2021, Graduate Education (Master's Program) , Academic Year, Seminar on Complex Analysis and Functional Equations
  10. 2021, Graduate Education (Master's Program) , Academic Year, Seminar on Complex Analysis and Functional Equations
  11. 2021, Graduate Education (Master's Program) , 1Term, Mathematical Analysis A
  12. 2021, Graduate Education (Master's Program) , 4Term, Mathematical Analysis B
  13. 2021, Graduate Education (Master's Program) , 4Term, Topics in Mathematical Analysis B
  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
  18. 2021, Graduate Education (Doctoral Program) , Academic Year, Seminar in Mathematics

Research Activities

Academic Papers

  1. Boundary growth rates and the size of singular sets for superharmonic functions satisfying a nonlinear inequality, ARCHIV DER MATHEMATIK, 116(3), 335-344, 202103
  2. Boundary estimates for superharmonic functions and solutions of semilinear elliptic equations with source, COLLECTANEA MATHEMATICA, 72(1), 43-61, 202101
  3. Global integrability of supertemperatures, MATHEMATISCHE ZEITSCHRIFT, 296(3-4), 1049-1063, 202012
  4. A priori growth estimates for nonnegative supertemperatures and solutions of semilinear heat equations in a Lipschitz domain, JOURNAL D'ANALYSE MATHEMATIQUE, 138(1), 441-463, 201910
  5. Two-sided estimates for positive solutions of superlinear elliptic boundary value problems, BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 98(3), 465-473, 201812
  6. Existence and nonexistence of a positive solution of the Lane-Emden equation having a boundary singularity: the subcritical case, MONATSHEFTE FUR MATHEMATIK, 186(4), 635-652, 201808
  7. Removable sets for continuous solutions of quasilinear elliptic equations with nonlinear source or absorption terms, ANNALI DI MATEMATICA PURA ED APPLICATA, 197(1), 41-59, 201801
  8. Removable sets for subcaloric functions and solutions of semilinear heat equations with absorption, HOKKAIDO MATHEMATICAL JOURNAL, 45(2), 195-222, 201606
  9. Positive solutions with a time-independent boundary singularity of semilinear heat equations in bounded Lipschitz domains, NONLINEAR ANALYSIS. THEORY, METHODS & APPLICATIONS, 134, 144-163, 201603
  10. Removable singularities and singular solutions of semilinear elliptic equations, NONLINEAR ANALYSIS. THEORY, METHODS & APPLICATIONS, 105, 10-23, 201408
  11. Removable singularities of semilinear parabolic equations, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 142(1), 157-171, 201401
  12. Two sided global estimates of heat kernels in Lipschitz domains, RIMS KOKYUROKU BESSATSU, B43, 29-45, 201309
  13. Admissible boundary limits of Green potentials satisfying nonlinear inequalities in the unit ball of C^n, TOPICS IN FINITE OR INFINITE DIMENSIONAL COMPLEX ANALYSIS, 111-121, 201301
  14. Boundary behavior of superharmonic functions satisfying nonlinear inequalities in uniform domains, TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 363(8), 4007-4025, 201103
  15. Removable sets for continuous solutions of semilinear elliptic equations, MANUSCRIPTA MATHEMATICA, 135(1-2), 245-262, 201105
  16. Properties of superharmonic functions satisfying nonlinear inequalities in nonsmooth domains, JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 62(4), 1043-1068, 201010
  17. Boundary behavior of solutions of the Helmholtz equation, CANADIAN MATHEMATICAL BULLETIN, 52(4), 555-563, 200912
  18. Boundary behavior of superharmonic functions satisfying nonlinear inequalities in a planar smooth domain, JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 87(2), 253-261, 200910
  19. Limits at infinity of superharmonic functions and solutions of semilinear elliptic equations of Matukuma type, POTENTIAL ANALYSIS, 30(2), 165-177, 200902
  20. Global estimates for non-symmetric Green type functions with applications to the p-Laplace equation, POTENTIAL ANALYSIS, 29(3), 221-239, 200811
  21. Doubling conditions for harmonic measure in John domains, ANNALES DE L'INSTITUT FOURIER, 58(2), 429-445, 2008
  22. On the existence of positive solutions of singular nonlinear elliptic equations with Dirichlet boundary conditions, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 338(2), 885-891, 200802
  23. The boundary growth of superharmonic functions and positive solutions of nonlinear elliptic equations, MATHEMATISCHE ANNALEN, 340(3), 625-645, 200803
  24. Estimates for the products of the Green function and the Martin kernel, Nagoya Mathematical Journal, 188, 1-18, 2007
  25. Martin boundary points of cones generated by spherical John regions, ANNALES ACADEMIA SCIENTIARUM FENNICA. MATHEMATICA, 32(2), 289-300, 2007
  26. Boundary behaviour of quotients of Martin kernels, PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY. SERIES II, 50(2), 377-388, 200706
  27. Martin kernels of general domains, ADVANCED STUDIES IN PURE MATHEMATICS, 44, 145-154, 2006
  28. Sharp estimates for the Green function, 3G inequalities, and nonlinear Schrodinger problems in uniform cones, JOURNAL D'ANALYSE MATHEMATIQUE, 99, 309-332, 200612
  29. Martin boundary points of a John domain and unions of convex sets, Journal of the Mathematical Society of Japan, 58(1), 247-274, 2006
  30. Sharpness of the Koranyi approach region, PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 133(8), 2309-2317, 200503
  31. Characterizations of M-harmonic α-Bloch and BMO functions on the unit ball of C^n, COMPLEX VARIABLES. THEORY AND APPLICATION, 49(7-9), 583-594, 200406

Publications such as books

  1. 2013, Potential theory and its related fields, Research Institute for Mathematical Sciences, Kyoto University, Compilation, English, Kentaro Hirata (edited)