Last modified: January 5, 2022
Kentaro Hirata
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Associate Professor
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Department of Mathematics,
Graduate School of Science,
Hiroshima University,
Higashi-Hiroshima 739-8526, Japan
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E-mail: hiratake♦hiroshima-u.ac.jp
(Replace ♦ by @)
Research interests
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Potential theory for Laplace's equation in Rn
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Potential analysis for semilinear elliptic equations
Some recent research papers
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Removable singularities for quasilinear elliptic equations with source terms involving the solution and its gradient,
to appear in Bull. Braz. Math. Soc. (N.S.)
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(Joint work with A. Seesanea),
The Dirichlet problem for sublinear elliptic equations with source,
Bull. Sci. Math., vol. 171, Paper No. 103030, 20, (2021)
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Boundary growth rates and exceptional sets for
superharmonic functions on the real hyperbolic ball, J. Geom. Anal., vol. 31, pp. 10586--10602, (2021)
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Boundary growth rates and the size of singular sets for superharmonic functions
satisfying a nonlinear inequality, Arch. Math., vol. 116, pp. 335--344, (2021)
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(Joint work with H. Aikawa and T. Hara),
Global integrability of supertemperatures, Math. Z., vol. 296, pp. 1049--1063, (2020)
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Boundary estimates for superharmonic functions and solutions of semilinear elliptic equations
with source, Collect. Math., vol. 72, pp. 43--61, (2021)
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
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A member of the Mathematical Society of Japan, since 9/2005
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Reviewer for Mathematical Reviews, since 7/2006
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Akita district go-between of Japan Mathematical Olympiad, 4/2010--3/2013
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Grant-in-aid I gained
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JSPS KAKENHI Grant (No. JP18K03333), 2018--2022
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Grant-in-Aid for Scientific Research (C) (No. 26400137), 2014--2017
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Grant-in-Aid for Young Scientists (B) (No. 22740081), 2010--2013
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Grant-in-Aid for Young Scientists (B) (No. 19740062), 2007--2009
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Seminar Informations