学术报告

报告人(Reporter)：Prof. Mostafa Adimy （Universit′e de Pau et des Pays de l’Adour, Laboratoire de Math′ematiques Appliqu′ees, Pau, France）

题目(Title)： Center manifold for some partial functional differential equations

时间(Time)： 2006年12月21日下午 16：00-17：00

地点(Place)： 理科大楼A1414

摘要(Abstract)：We prove the existence of a center manifold for some partial functional differential equations, whose linear part is not necessarily densely defined but satisfies the Hille-Yosida condition. When the unstable space is reduced to zero, we also show the attractiveness of the center manifold. We prove that the flow on the center manifold is completely determined by an ordinary differential equation in a finite dimensional space. Finally, we prove that the stability of the equilibrium is completely determined by the stability of the flow on the center manifold in some critical cases.