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KAJIWARA Naoto
Title Assistant Professor
Department Department of Electrical, Electronic and Computer Engineering
Course Applied Physics Course

Research fields

In general, various differential equations are used to represent natural phenomena. Differential equations are distinguished as "ordinary differential equations(ODE)" and "partial differential equations(PDE)". However, these are not independent from each other. It is known that PDE are regarded as ODE in an infinite dimensional space. Based on this functional analytic method and the real analytic method, in particular, as well as the analytic semigroup theory and the maximal regularity theory, my research topics center around whether PDE can be solved under given data and what the asymptotic behavior is. I have learned and studied pure mathematics since I was a university student, while valuing the opportunity of belonging to the Applied Physics course, I would like to further deepen my research by incorporating a physical perspective.

Research Keywords

parabolic evolution equations  analytic semigroups   maximal regularity

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