Last modified: July 12, 2021
Kentaro Hirata

Associate Professor

Department of Mathematics,
Graduate School of Science,
Hiroshima University,
HigashiHiroshima 7398526, Japan

Email: hiratake♦hiroshimau.ac.jp
(Replace ♦ by @)
Research interests

Potential theory for Laplace's equation in R^{n}

Potential analysis for semilinear elliptic equations
Some recent research papers

(Joint work with A. Seesanea),
The Dirichlet problem for sublinear elliptic equations with source, Bull. Sci. Math. (to appear)

Boundary growth rates and exceptional sets for
superharmonic functions on the real hyperbolic ball, J. Geom. Anal. (to appear)

Boundary growth rates and the size of singular sets for superharmonic functions
satisfying a nonlinear inequality, Arch. Math., vol. 116, pp. 335344, (2021)

(Joint work with H. Aikawa and T. Hara),
Global integrability of supertemperatures, Math. Z., vol. 296, pp. 10491063, (2020)

Boundary estimates for superharmonic functions and solutions of semilinear elliptic equations
with source, Collect. Math., vol. 72, pp. 4361, (2021)

A priori growth estimates for nonnegative supertemperatures and solutions of
semilinear heat equations in a Lipschitz domain, J. Anal. Math., vol. 138, pp. 441463, (2019)
Click the list of all papers and the list of talks (Japanese),
if you want to see. Also, preprints of the papers can be obtained there.
Activities

A member of the Mathematical Society of Japan, since 9/2005

Reviewer for Mathematical Reviews, since 7/2006

Akita district gobetween of Japan Mathematical Olympiad, 4/20103/2013

Grantinaid I gained

JSPS KAKENHI Grant (No. JP18K03333), 20182022

GrantinAid for Scientific Research (C) (No. 26400137), 20142017

GrantinAid for Young Scientists (B) (No. 22740081), 20102013

GrantinAid for Young Scientists (B) (No. 19740062), 20072009

Seminar Informations