报告题目:Ground state for the relativistic one electron atom
报 告 人:Vittorio Coti Zelati教授 意大利那不勒斯费德里克二世大学
报告时间:2019年9月14日 10:30 - 11:30
报告地点:数学楼第一报告厅
报告摘要:
We prove the existence of a "ground state" solution for the Dirac-Maxwell system coupled with an external potential of Coulomb type. After applying the Foldy-Wouthuysen (unitary) transformation of the Dirac operator we consider its realization as an elliptic problem in the 4-dim half space R^4_+ with a Neumann boundary condition. The result follows via critical point theory. The result is contained in a paper with Margherita Nolasco.
报告人简介:
Vittorio Coti Zelati,意大利那不勒斯费德里克二世大学教授。主要从事微分方程及临界点理论的研究。研究成果在J. Amer. Math. Soc.,Comm. Pure Appl. Math.等顶级学术期刊发表。目前担任Nonlinear Differential Equations and Applications等多个学术期刊编委。