广州数学大讲坛第十三期

第一百二十八讲——兰州理工大学石启宏副教授学术报告

题目：Global bounds for the nonlinear Klein-Gordon-Schrodinger system

时间：11月10号（周四）上午10：30-11：30

地点：腾讯会议（会议ID：786-577-275）

报告人：石启宏 副教授

摘要:This report is concerned with the Cauchy problem of the Klein-Gordon-Schrodinger (KGS) equations with a defocusing nonlinearity in three spatial dimensions. The global wellposedness at H^2-regularity level and the growth bounds for the corresponding Sobolev norm of the solutions are obtained by applying Koch-Tzvetkov type Strichartz estimates and modified energy, which removes the restriction of the smallness for the initial data in the previous literature and extends the earlier results for higher-order nonlinearity. In addition, we will say more about the continuous dependence.

报告人简介：

石启宏，兰州理工大学副教授，硕士生导师。研究方向为偏微分方程与数学物理，主要研究量子系统中出现的非线性偏微分方程组，在J.Differential Equations, J.Math Phys, Discrete Cont Dyn, Commun Pur Appl Anal, Z Angew Math Phys等国内外学术刊物上发表论文30余篇， 他引60余次。先后主持国家自然科学基金项目2项，甘肃省自然科学基金项目1项。