| 日時 | 12月 4日(金) 15:30--17:00 |
|---|---|
| 講師 | 浅井 智朗 氏 (東大・数理 D1) |
| 題目 | On smoothing effect for higher order curvature flow equations |
| 概要 | We prove the unique solvability of higher order curvature flow equations with rough initial data. To be more precise, we prove the unique existence of solutions of the surface diffusion flow and the Willmore flow, with an initial curve whose curvature is not necessarily continuous. For this purpose we develop an abstract theory for quasilinear parabolic equations based on the theory of analytic semigroups. |