勷勤数学•专家报告

题      目：Existence and multiplicity of positive solutions to nonlinear Schr¨odinger equations on a bridge type unbounded graph

报  告  人：周家正 副教授  (邀请人：钟学秀)

                                      巴西利亚大学

时      间： 12月15日  10：00-11:00

地     点：数科院东楼401

报告人简介:

       周家正，2010年获巴西利亚大学数学博士，现任巴西利亚大学副教授。他的研究方向是非线性偏微分方程，生物数学。 在包括Sci. China Math., Nonlinearity, Commun. Contemp. Math., Discete Contin. Dyn. Syst., Proc. Roy. Soc. Edinburgh Sect. A, Journal of Dynamics and Differential Equations, Journal of Differential Equations等知名刊物发表SCI论文30余篇。

摘      要：

       The existence of positive solution to a Schr¨odinger equation on a bridge type unbounded metric graph (a domain of multiple half-lines with two junctions connected by a line segment with arbitrary length) is showed, and under certain conditions, there exist multiple positive solutions. Similar results also hold for the equation with bistable nonlinearity.

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