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Ogawa Lab
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A lab of analysis that studies nonlinear partial differential equations using methods from real analysis.
AboutAbout the lab
Uncovering the critical structure of equations through mathematics.
Ogawa Lab studies nonlinear partial differential equations using methods from real analysis and harmonic analysis.
The lab investigates the critical structure of nonlinear evolution equations and the functional inequalities related to it.
From the standpoint of applied analysis, the lab works to clarify mathematically how the solutions of these equations behave.
Key terms
- Partial differential equation
- An equation about a function that involves multiple rates of change (derivatives)
- Critical structure
- The structure of the special state at the boundary where the properties of an equation change abruptly
- Functional inequality
- A mathematical inequality that expresses the size relationship between functions
NewsLab news
A paper by Professor Ogawa and colleagues was published in Journal of Differential Equations
A paper by Professor Ogawa and colleagues was published in Mathematische Annalen
ResearchResearch themes
The lab studies nonlinear partial differential equations using methods from real analysis and harmonic analysis. It focuses in particular on the structure that appears when an equation becomes critical, and on the functional inequalities that come with it.
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MembersFaculty
- ProfessorTakayoshi Ogawa
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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: “Chladni plate 14” Exhibit made by Estes Objethos Atelier, photo by Rodrigo Tetsuo Argenton / CC BY-SA 4.0 (cropped)
- Critical structure of nonlinear evolution equations: “Stone Balancing Sunset” Saffron Blaze / CC BY-SA 3.0 (cropped)
- Related lab (Kozono Lab): “A340 wake turbulence simulation” Deutsches Zentrum für Luft und Raumfahrt / CC BY 3.0 de (cropped)
- Related lab (Mitake Lab): “Bubble on an ultrahydrophobic surface” Stevearscott / CC BY-SA 4.0 (cropped)
- Related lab (Fukuizumi Lab): “Rogue wave (03)” F1jmm / CC0 (cropped)
- Related lab (Tanaka Lab): “Minimalfläche mit Seifenhaut Tetraeder 0326” Bin im Garten / CC BY-SA 3.0 (cropped)
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