Institute of Mathematics for Industry


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Dynamical approach to an overdetermined problem in potential theory

Hold Date 2015-06-12 16:00~2015-06-12 17:30

Place Seminar Room 2, Faculty of Mathematics building, Ito Campus

Object person researchers and graduate students 

Speaker Michiaki ONODERA (IMI, Kyushu University)

A general scheme for deriving a deformation flow of surface 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.