For Faculty Members
石毛 和弘 (いしげ かずひろ)
ISHIGE Kazuhiro
Title | Professor |
---|---|
Affiliation | Department of Mathematics (UG), Graduate School of Mathematical Sciences |
Room | 311, Graduate School of Mathematical Sciences Bldg. 3F, Komaba Campus |
TEL | +81-3-5465-7025 | 47025(ext.) |
Research Field
Partial Differential Equations
Research Subject
Asymptotic analysis and geometric analysis for solutions to parabolic equations
Current Research
I am interested in qualitative properties, in particular, the asymptotic behavior and geometric properties of solutions to parabolic equations. For example, I studied the movement of hot spots for parabolic equations; power concavity of solutions to parabolic equations; the solvability, the large time behavior and the blow-up phenomena for semilinear heat equations and systems, the heat equation with a nonlinear boundary condition and a semilinear elliptic equation with a dynamical boundary condition.
Keywords
Parabolic equations, Asymptotic analysis, Geometric analysis, Blow-up problems, Nonlinear boundary conditions