Last modified: June 19, 2018
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,

Potential theory for the LaplaceBeltrami equation associated with the Bergman metric in the unit ball of C^{n},

Parabolic potential theory, semilinear parabolic equations, etc
Some recent research papers

(Joint work with H. Aikawa and T. Hara),
Global integrability of supertemperatures, (preprint)

Carleson estimate, boundary Harnack principle and a priori estimates for
elliptic equations with nonlinear source terms in a Lipschitz domain, (preprint)

Two sided estimates for positive solutions of superlinear elliptic boundary value problems
in a Lipschitz domain, (preprint)

Existence and nonexistence of a positive solution of the LaneEmden equation
having a boundary singularity: the subcritical case, Monatsh. Math. (to appear)

A priori growth estimates for nonnegative supertemperatures and solutions of
semilinear heat equations in a Lipschitz domain, J. Anal. Math. (to appear)

Positive solutions with a timeindependent boundary singularity of
semilinear heat equations in bounded Lipschitz domains,
Nonlinear Anal., vol. 134, pp. 144163, (2016)

(Joint work with Takayori Ono),
Removable sets for continuous solutions of quasilinear elliptic equations
with nonlinear source or absorption terms,
Ann. Mat. Pura Appl., vol. 197, no. 1, pp. 4159, (2018)

Removable sets for subcaloric functions and solutions of semilinear heat equations with absorption,
Hokkaido Math. J., vol. 45, no. 2, pp. 195222, (2016)
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

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