讲座题目：Some Results on Normalized Solutions of Nonlinear Dirac Equations

主办单位：三峡数学研究中心/理学院

报告专家：郭琪 讲师（中国人民大学）

报告时间：2024年6月19日（星期三）9:00-11:00

报告地点：腾讯会议（ID: 456-685-153）

报告摘要：This talk presents a summary of recent findings on normalized solutions for nonlinear Dirac equations. The discussion is divided into two main parts. First, we discuss the multiplicity of normalized solutions of nonlinear Dirac equations, employing perturbation methods in combination with Lyapunov-Schmidt reduction. The second segment investigates the nonrelativistic limit, highlighting the convergence of the normalized ground states from nonlinear Dirac equations to those of nonlinear Schrödinger equations. This talk aims to provide an overview of the pertinent findings in this domain.

报告人简介：郭琪，中科院数学与系统科学研究院数学所博士，中国人民大学数学学院博士后，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。