A flow approach to an inverse problem in potential theory

開催日時: 
2014/10/14 Tue 16:30 - 18:00
場所: 
6号館809号室
講演者: 
小野寺有紹
講演者所属: 
九州大学マスフォアインダストリ研究所
概要: 

A new geometric flow describing the motion of quadrature surfaces is introduced, where a quadrature surface is a closed hypersurface inducing the same electrostatic potential as a given electric charge density. This characterization enables us to study quadrature surfaces through the investigation of the flow. It is proved that the flow is uniquely solvable under the geometric condition that the initial surface has positive mean curvature. As a consequence, a bifurcation criterion for quadrature surfaces is obtained.

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