From People - School of Science, The University of Tokyo
Nonlinear Partial Differential Equations
Qualitative theory of nonlinear equations, Structure of singularities, Traveling waves, Dynamical systems
My research is focused mainly on the qualitative theory of nonlinear diffusion equations and elliptic equations. Currently I am interested in traveling waves in heterogeneous diffusive media and their homogenization limits. Other important research themes include blow-up in nonlinear heat equations and the interfacial motion arizing in the singular limit of diffusion equations.
nonlinear partial differential equations, qualitative theory, dynamical systems, singularity, diffusion equations, nonlinear heat equations, traveling wave, singular limit, blow-up of solutions, homogenization limit