KATO Tomoya

KATO Tomoya
Title Associate Professor
Department Department of Electrical, Electronic and Computer Engineering
Course Applied Physics Course

Research fields

My research area is Fourier analysis and its application to partial differential equations. Modulation spaces are function spaces introduced from the viewpoint of time-frequency analysis and are known that give new phenomena on Fourier analysis. In the framework of modulation spaces, I study on the boundedness of pseudo-differential operators in the field of Fourier analysis area and the initial value problem for nonlinear dispersive equations in the field of partial differential equations. In the future, I wish I could develop or improve known results by using this function spaces.

Research Keywords

Pseudo-differential operators, function spaces, partial differential equations

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