偏微分方程式セミナー(2015/5/11): On a dynamical approach to an overdetermined problem in potential theory, 小野寺 有紹 氏

2015年 　 5月 11日 16時 30分 ～ 2015年 　 5月 11日 17時 30分

A general scheme for deriving a deformation flow for a parametrized overdetermined problem is introduced. Such a flow can be a strong analytical tool for deriving some properties of the original (stationary) overdetermined problem. In particular, we prove the uniqueness of an admissible domain for the mean value formula for harmonic functions, by clarifying the dynamical structure of the corresponding deformation flow.