HIRATA, Kentaro:COE Research Fellow,Analysis

Keyword(s):

(super/sub) harmonic function, Green function, Martin theory, Bergman-Laplace equation, nonlinear elliptic equation, parabolic equation, p-Laplace equation

Research Interest:

Potential Theory

Research Activities:

My mathematical interests center on Potential Theory. Especially, I have studied the boundary behavior of harmonic functions, a global estimate for the Green function, Martin boundaries and Martin kernels of complicated domains, etc. Recently, I have been studying nonlinear elliptic equations using potential theoretic techniques.

WebPage:

http://www.math.sci.hokudai.ac.jp/~hirata