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| 開催情報 | 木曜日 16:00～17:30 数理科学研究科棟(駒場) 号室 |
|---|---|
| 担当者 | 石毛 和弘，宮本 安人，三竹 大寿，高田 了 |
| セミナーURL | https://www.ms.u-tokyo.ac.jp/seminar/applana/index.html |
2025年04月17日(木)
16:00-17:30 数理科学研究科棟(駒場) 128号室
北野修平 氏 (東京大学大学院数理科学研究科)
On Calderón–Zygmund Estimates for Fully Nonlinear Equations (Japanese)
北野修平 氏 (東京大学大学院数理科学研究科)
On Calderón–Zygmund Estimates for Fully Nonlinear Equations (Japanese)
[ 講演概要 ]
The Calderón–Zygmund estimate provides a bound on the $L^p$ norms of second-order derivatives of solutions to elliptic equations. Caffarelli extended this result to fully nonlinear equations, requiring the exponent $p$ to be sufficiently large. In this work, we explore two generalizations of Caffarelli’s result: one concerning small values of $p$ and the other involving equations with $L^n$ drift terms.
The Calderón–Zygmund estimate provides a bound on the $L^p$ norms of second-order derivatives of solutions to elliptic equations. Caffarelli extended this result to fully nonlinear equations, requiring the exponent $p$ to be sufficiently large. In this work, we explore two generalizations of Caffarelli’s result: one concerning small values of $p$ and the other involving equations with $L^n$ drift terms.
