PDE Seminar (2015/5/11): On a dynamical approach to an overdetermined problem in potential theory

2015-5-11 16:30 - 2015-5-11 17:30
Faculty of Science Building #3, Room 309
Michiaki Onodera (Kyushu University)
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.