講座主題：Existence of solutions for Schrodinger systems with linear and nonlinear couplings
專(zhuān)家姓名：張志濤
工作單位：中國(guó)科學(xué)院數(shù)學(xué)與系統(tǒng)科學(xué)研究院
講座時(shí)間：2017年7月28日9:00
講座地點(diǎn)：數(shù)學(xué)院大會(huì)議室
主辦單位：煙臺(tái)大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院
內(nèi)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.
主講人介紹：
國(guó)家杰青和德國(guó)洪堡學(xué)者；長(zhǎng)期從事非線(xiàn)性泛函分析理論和應(yīng)用的研究，在Springer出版專(zhuān)著一部； 在 J. Functional Analysis、Annales de l'Institut Henri Poincare Analyse Non Lineaire、J. Differential Equations、Calculus of Variations and PDE、Transactions of the American Mathematical Society等國(guó)際頂級(jí)學(xué)術(shù)刊物發(fā)表論文50多篇，在非線(xiàn)性偏微分方程多個(gè)領(lǐng)域做出了杰出成果，產(chǎn)生了廣泛的影響。獲2011年度中科院“優(yōu)秀研究生指導(dǎo)教師獎(jiǎng)”，中科院數(shù)學(xué)與系統(tǒng)科學(xué)研究院2011年度十大科研進(jìn)展。
