2014考研中国科学技术大学数学学院导师介绍
赵立丰,辽宁铁岭人。2001年毕业于,取得学士学位。2006年毕业于并取得博士学位,导师为丁伟岳院士,王保祥教授。后进入北京应用物理与计算数学研究所做博士后,合作导师为苗长兴研究员。2009年进入中国科技大学任教。研究兴趣为调和分析与偏微分方程以及相关的几何分析、水波理论及广义相对论中的问题。
工作简历
2011.8-2012.8 UC Berkeley,访问学者
2009- 中国科技大学 副教授
2006-2008 北京应用物理与计算数学研究所 博士后
教学情况
2008年冬季学期: 调和分析(本研贯通课程)
教材:Javier Duoandikoetxea,Fourier Analysis,Graduate Studies in Mathemtics,Vol 29,AMS,2001
2009年春季学期: 现代偏微分方程(研究生)
教材:C.E.Evans,Partial Differential Equations,Graduate Studies in Mathematics,Vol 19,AMS,1998
2009年冬季学期:调和分析(本研贯通课程)
教材:Loukas Grafakos,Classical Fourier Analysis,Graduate Texts in Mathematics 249,Springer,2008
2010年春季学期:实变函数(08级数学系、统计系、少年班本科生)
教材:Elias M.Stein,Rami Shakarchi,Real Anlaysis(Princeton Lectures in Analysis III),世界图书出版公司,2007.
2010年秋季学期(1):调和分析(研究生)
教材:
1.Loukas Grafakos,Classical Fourier Analysis,Graduate Texts in Mathematics 249,Springer,2008
2.Loukas Grafakos,Modern Fourier Analysis,Graduate Texts in Mathematics 250,Springer,2008
2010年秋季学期(2):现代偏微分方程选讲(研究生)
教材:自选(非线性波动方程相关内容)
2011年春季学期:实变函数(09级数学系、统计系、少年班本科生)
教材:Elias M.Stein,Rami Shakarchi,Real Anlaysis(Princeton Lectures in Analysis III),世界图书出版公司,2007.
2012年秋季学期(1):泛函分析(10级数学系、统计系、少年班本科生)
教材:Michael Reed,Barry Simon,Methods of Modern Mathematical Physics Vol I.Functional Analysis,世界图书出版公司,2003.
2012年秋季学期(2):现代偏微分方程选讲I(研究生)
教材:自选(非线性Schrodinger方程相关内容)
2013春季学期:实变函数(11级数学系)
教材:Elias M.Stein,Rami Shakarchi,Real Anlaysis(Princeton Lectures in Analysis III),世界图书出版公司,2007.
科研情况
已发表文章:
1.(With Wang BX and Guo BL)Isometric decomposition operators,function spaces and applications to nonlinear evolution equations,J.Func.Anal.,233(2006)(1): 1-39.
2.(With Wang BX and Guo BL)The global well-posedness and spatial decay of solutions for the derivative complex Ginzburg-Landau equation in H^s ,Nonl.Anal.- TMA 57(2004)(7-8): 1059-1076.
3.(With Miao CX and Xu GX)Global well-posedness and scattering for the energy-critical defocusing Hartree equation for radial data,J.Func.Anal.,253(2007),605-627.
4.(With Miao CX and Xu GX)The Cauchy problem of the Hartree equation,J.Part.Diff.Eq.,21(2008),22-44.
5.(With Miao CX and Xu GX)Global well-posedness and scattering for the mass-critical Hartree equation with radial data,J.Math.Pure.Appl.91(2009),49-79.
6.(With Miao CX and Xu GX)Global well-posedness,scattering and blow-up for the energy-critical,focusing Hartree equation in the radial case,Colloq.Math.114(2009),213-236.
7.(With Miao CX and Xu GX)Global wellposedness and scattering for the focusing energy-critical nonlinear Schrodinger equations of fourth order in the radial case,J.Diff.Equa.246(2009),3715-3749.
8.(With Miao CX and Xu GX)Global well-posedness and scattering for the defocusing H^{ rac{1}{2}} -subcritical Hartree equation in R^d ,Ann.I.H.Poincaré – Analyse Non Lineaire,26(2009),1831-1852.
9.(With Miao CX and Xu GX)On the blow-up phenomenon for the mass-critical focusing Hartree equation in R^4,Colloq.Math.119(2010),23-50
10.(With Miao CX and Xu GX)Global well-posedness and scattering for the energy-critical,defocusing Hartree equation in R1+n,Comm.PDE,36(2011),729-776.
11.(With Miao CX and Xu GX)Global wellposedness and scattering for the defocusing energy-critical nonlinear Schrodinger equations of fourth order in dimensions dgeq9,J.Diff.Equ.Vol.251,(2011)3381-3402.
12.(With Miao CX and Xu GX)The Dynamics of the 3D Radial NLS with the Combined Terms,Comm.Math.Phy.318(2013),767-808.
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