Nonrelativistic and Discrete Problems related to Dirac Operators

报告题目：Nonrelativistic and Discrete Problems related to Dirac Operators

报告专家：郭琪（中国人民大学）

时间: 05.31 (Saturday), 14:30-15:30  

地点: Gewu Building 315

专家简介： 郭琪，中科院数学与系统科学研究院数学所博士，现任中国人民大学数学学院讲师，研究兴趣为变分法，临界点理论，随机图等，部分研究成果发表在Calc. Var. Partial Differential Equations, J. Differential Equations, SIAM J. Math. Anal., J. Math. Phys., Discrete Contin. Dyn. Syst. 等杂志上，已出版2本学术专著，主持或完成国家自然基金项目3项。

报告摘要： In this talk, we briefly review our studies on ground states of nonlinear Dirac equations. Then we focus on two main issues: the nonrelativistic limit of the Dirac operator on lattice graphs and the limit from the discrete Dirac operator to the continuous Dirac operator using discrete approximation. Lastly, we discuss the corresponding nonlinear problems using variational methods.