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.