ISHIGE Kazuhiro

ISHIGE Kazuhiro
Department of Mathematics (UG), Graduate School of Mathematical Sciences
TEL +81-3-5465-7025 | 47025(ext.)
Room 311, Graduate School of Mathematical Sciences Bldg. 3F, Komaba Campus

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.


Parabolic equations, Asymptotic analysis, Geometric analysis, Blow-up problems, Nonlinear boundary conditions