学术预告-Existence of solutions for Schrodinger systems with linear and nonlinear couplings

信息来源: 发布时间2017-7-14 14:50:05

 讲座主题:Existence of solutions for Schrodinger systems with linear and nonlinear couplings

专家姓名:张志涛

工作单位:中国科学院数学与系统科学研究院

讲座时间:20177289:00

讲座地点:数学院大会议室

主办单位:烟台大学数学与信息科学学院

内容摘要:

    We are concerned with the important system of nonlinear Schrodinger equations with linear and nonlinear couplings which arises from Bose-Einstein condensates, we prove  phase segregation results of the limit competition case, we use variational methods to prove the existence of ground state and bound state solutions of the systems, and use bifurcation theory to get structure of positive solutions. We give  some partial symmetry results of positive solutions by Morse index and obtain existence and uniqueness of positive solution via synchronized solution techniques etc.

主讲人介绍:

国家杰青和德国洪堡学者;长期从事非线性泛函分析理论和应用的研究,在Springer出版专著一部; 在 J. Functional AnalysisAnnales de l'Institut Henri Poincare Analyse Non LineaireJ. Differential EquationsCalculus of Variations and PDETransactions of the American Mathematical Society等国际顶级学术刊物发表论文50多篇,在非线性偏微分方程多个领域做出了杰出成果,产生了广泛的影响。获2011年度中科院“优秀研究生指导教师奖”,中科院数学与系统科学研究院2011年度十大科研进展。