HIRATA, Kentaro:COE Research Fellow,Analysis

(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.