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Faculty Member 


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Iwabuchi Tsukasa, Assoc. Professor

Research field
Real Analysis, Partial Differential Equations

Research
I am studying the well-posedness and ill-posedness for the nonlinear partial differential equations such as Navier-Stokes equations, Schrodinger equations based on the theory of functional analysis and real analysis. I am also studying the large time behavior of solutions for equations with fractional dissipation such as Burgers equation, and the theory of Besov spaces on general domains.
Advice on Research
The aim of the beginning is to comprehend how to understand the partial differential equations based on the theory of functional analysis and real analysis. After that, you are going to read some papers and it is important that you become able to find problems by yourself. I expect your trying initiatively to explain how you understand and what you can't follow in the proof of theorems.

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Tohoku University
Faculty of Science

Division of Mathematics
Information Science