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Sugiyama Lab
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A mathematical analysis lab that investigates the properties of solutions to partial differential equations.
AboutAbout the lab
Investigating the properties of solutions to partial differential equations
Sugiyama Lab studies the theory of partial differential equations within mathematical analysis.
The problems it works on are the regularity of solutions to degenerate quasilinear wave equations, and the existence, regularity, and limiting distribution of solutions to fractional-power advection-diffusion equations.
Associate Professor Yusuke Sugiyama has been affiliated with the Department of Mathematics, Faculty of Science Division I, Tokyo University of Science since April 2025.
Key terms
- Partial differential equation
- An equation that expresses the relationship between the rates of change of a quantity that depends on several variables.
- Regularity
- A property describing how smooth the solution of an equation is, measured by things such as the number of times it can be differentiated.
ResearchResearch themes
Sugiyama Lab is a mathematical analysis lab that focuses on partial differential equations. Its research topic is investigating the properties of solutions to degenerate quasilinear wave equations and fractional-power advection-diffusion equations.
*Illustrative imageRegularity of solutions to degenerate quasilinear wave equations
The lab has been studying the regularity of solutions to degenerate quasilinear wave equations since 2011.
*Illustrative imageProperties of solutions to fractional-power advection-diffusion equations
The lab has been studying the existence, regularity, and limiting distribution of solutions to fractional-power advection-diffusion equations since 2014.
MembersFaculty
- Associate ProfessorYusuke Sugiyama
VoicesStudent voices
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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: “Ashbridge's Bay ripples, July 2019 (3)” Jason Zhang / CC BY-SA 3.0 (cropped)
- Regularity of solutions to degenerate quasilinear wave equations: “Surface waves” Roger McLassus / CC BY-SA 3.0 (cropped)
- Properties of solutions to fractional-power advection-diffusion equations: “Blausen 0315 Diffusion-es” BruceBlaus / CC BY 4.0 (cropped)
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