报 告 人：丁彦恒教授
报告题目：Some recent results on existence and concentration of semi-classical ground states of Dirac equations
报告时间：2015年4月16日（周四）上午10:00—11:00
报告地点：静远楼1508学术报告厅
Abstract：In the literature there are lots of results on existence and concentration of nonlinear Schrodinger equations appearing innon- relativisticquantum mechanics. However, only a few similar results on nonlinear Dirac systems arising from relativisticquantum mechanics are established in recent years.Contrary to the Laplacian the Dirac operator has a continuous spectrumwhich is not bounded from below and above, thus the problems pose a challenge in theCalculus of Variations. In this talk we are going to introduce some latest results of this aspect.
丁彦恒教授个人简介
丁彦恒，中国科学院数学与系统科学研究院研究员，博士生导师，洪堡学者。曾任中国数学会常务副秘书长。长期从事非线性泛函分析、非线性偏微分方程方面的研究，原创性地发展并形成了相对系统的强不定问题的变分方法。尤其在 Dirac 系统的研究中作出了开创性工作，研究成果受到国际上广泛关注。主持了包括两项重点项目在内的多项国家自然科学基金项目。