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フーリエ解析・偏微分方程式（杉本 充）
Showing the original Japanese · View translation
偏微分方程式の解の大きさや滑らかさを、フーリエ解析の道具で調べる。
AboutAbout the lab
方程式の構造から、解の性質を導く。
杉本充先生は、
自然界の
その
特に、
Key terms
- 偏微分方程式
- 時間や
位置など、 いく つもの 変数で 決まる 量に ついて、 その 変化の 仕方を 表す方 程式 - フーリエ解析
- 関数を、さまざまな
周波数の 波の 重ね合わせに 分けて 調べる 方法 - フーリエ積分作用素
- フーリエ解析を
もとに した 道具。 偏微分方 程式の 解を 表したり、 方程式を 扱いやすい 形に 変えたりするのに 使う
ResearchResearch themes
偏微分方
*Illustrative image分散型方程式の平滑化作用
シュレディンガー方
*Illustrative imageフーリエ積分作用素と関数空間
方
MembersFaculty
- Professor杉本 充
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表現論・The information on this page is compiled by the LabLog team from the lab's public information and interviews. For corrections or removal requests, please contact LabLog, not the lab.
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” Jason Zhang / CC BY-SA 3.0 (cropped)
- 分散型方
程式の 平滑化作用: “Black alder twig and water ripples at Wolfsberger Mühle” Radomianin / CC BY-SA 4.0 (cropped) - フーリエ積分作用素と
関数 空間: “Water Interference” Daniela_deGol / CC BY 4.0 (cropped) - Related lab (フーリエ解析・偏微分方程式
（加藤 淳） ): “Ocean waves water” Jon Sullivan / Public domain (cropped) - Related lab (フーリエ解析・偏微分方程式
（木下 真也） ): “Unusual wave at the Gap” Avenue / CC BY-SA 3.0 (cropped) - Related lab (フーリエ解析・偏微分方程式・流体力学
（寺澤 祐高） ): “Flow separation” Jaganath at English Wikipedia / CC BY-SA 3.0 (cropped) - Related lab (表現論・
無限可積分系・数理物理 （中西 知樹） ): “Root system A2 with labels” Mark L MacDonald; derivative of work of User:Smithers888 and User:Maksim / CC BY-SA 3.0 (cropped)
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