Michiaki Onodera: A flow approach to an overdetermined problem in potential theory
Time: Mon 2014-09-22 13.15 - 14.15
Location: Room 3733, Lindstedtsvägen 25, 7th floor, Department of mathematics, KTH
Participating: Michiaki Onodera, Kyushu University
A general scheme for deriving the deformation flows for parametrized overdetermined problems is introduced. As a model problem, we discuss an overdetermined problem related to the mean value formula for harmonic functions. We will show a stability result of the mean value formula by clarifying the dynamical structure of the corresponding deformation flow.