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Analysis 1 (Real Analysis) Lab (Yohei Tsutsui)
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A lab that uses real analysis to study operators and inequalities related to equations.
AboutAbout the lab
Measuring the size of functions through inequalities
The Tsutsui Lab studies real analysis within the field of analysis.
It investigates weighted inequalities related to the heat equation, which describes the flow of heat, and maximal functions defined from the "median" of a function.
The lab applies these results to research on whether partial differential equations are solvable.
Key terms
- Real analysis
- A branch of analysis that studies functions by estimating their size and integrals precisely, using inequalities and similar tools
- Maximal function
- A function formed by taking averages of a function around each point and collecting the maximum values
- Heat equation
- A partial differential equation describing how heat spreads
ResearchResearch themes
The lab studies real analysis. It investigates inequalities for operators related to differential equations and applies them to the solvability of partial differential equations.
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MembersFaculty
- Associate ProfessorYohei Tsutsui
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Fourier Series-Square wave 3 H” Saisundar.s / CC BY-SA 4.0 (cropped)
- Weighted inequalities for heat flow: “Fundamental solution to the heat equation” Hpstricker / CC BY-SA 4.0 (cropped)
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