The major topic of my research is parabolic PDEs, where the corresponding phenomena to such PDEs are heat diffusion, fluid flow, and cell aggregation (chemotaxis), for instance. My research interest is mainly in the solvability of equations and the regularity of the
corresponding solutions: In my previous studies, I have dealt with the issue of the unique existence of solutions for singular initial data and external forces. As well as such an issue, I have studied the smoothing effect and the maximal regularity estimate for the corresponding solutions. The research method is based on harmonic analysis: I am also interested in the functional analysis that may be applied to the PDEs.