数学系学术报告Nonlinear Sch\\\\\\

发布时间: 2017-04-19 07:31:25 浏览次数: 1338 供稿:数学系

演讲人:赵亮(北京师范大学)

讲座时间:2017-04-20 10:00:00

讲座地点:信息楼257会议室

讲座内容

摘要:We introduce the nonlinear Schr\"{o}dinger equation on a locally finite graph. Via the Nehari method, if $a(x)$ satisfies certain assumptions, for any $\lambda>0$, we show that the equation admits a positive ground state solution. Moreover, for $\lambda\rightarrow \infty$, the solution $u_\lambda$ converges to a solution of the limit Dirichlet problem which is defined on the potential well. We also provide a numerical result for an example to illustrate our results.

演讲人简介