Baoping Liu


Beijing International Center for Mathematical Research

No. 5 Yiheyuan Road

Peking University, Beijing, China, 100871

Office: 78404

Office Phone: +86 10 62744115

Email: baoping [at] math [dot] pku [dot] edu [dot] cn

About me

I'm an associate professor at Beijing International Center for Mathematical Research at Peking University .

Previously, I received my Bachelor's degree in math from Peking University in 2006. Then I went to University of California, Berkeley where I finished my Ph.D. working with Professor Daniel Tataru in 2012. From 2012-2015, I was an L.E. Dickson instructor at University of Chicago working with Professor Carlos Kenig and Wilhelm Schlag .

My detailed CV can be found here.

Research Interest

I am interested in nonlinear partial differential equations arising from fluid mechanics and mathematical physics. The understanding of these problems requires combining ideas from different fields such as harmonic analysis, spectral theory, dynamical system, etc.

Publications

10. A General Scattering theory for Nonlinear and Non-autonomous Schroedinger Type Equations- A Brief description
    with Avy Soffer. arxiv preprint.

9. On Threshold Solutions of equivariant Chern-Simons-Schrodinger Equation.
    with Zexing Li. Accepted by Annales de l'Institut Henri Poincare C , Analyse Non Lineaire..

8. Global center stable manifold for the defocusing energy critical wave equation with potential.
    with Hao Jia, Wilhelm Schlag, Guixiang Xu. Amer. J. Math. 142 (2020), no. 5, 1497-1557.

7. Generic and non-generic behavior of solutions to the defocusing energy critical wave equation with potential in the radial case.
    with Hao Jia, Wilhelm Schlag, Guixiang Xu. International Mathematics Research Notices, Vol. 2017, No. 19, pp. 5977-6035

6. Stable soliton resolution for exterior wave maps in all equivariance classes.
    with Carlos Kenig, Andrew Lawrie, and Wilhelm Schlag, Advances in Mathematics 285 (2015) 235-300.

5. Channels of energy for the linear radial wave equation.
   with Carlos Kenig, Andrew Lawrie, and Wilhelm Schlag, Advances in Mathematics 285 (2015) 877-936.

4. Long time dynamics of defocusing energy critical 3 + 1 dimensional wave equation with potential in the radial case.
    with Hao Jia and Guixiang Xu, Communications in Mathematical Physics, Volume 339, Issue 2, pp 353-384.

3. Global wellposedness of the equivariant Chern-Simons-Schroedinger equation.
   with Paul Smith, Revista Matematica Iberoamericana 32 (2016), no. 3, 751-794.

2. Low regularity solution for Chern-Simons-Schrodinger equation.
    with Paul Smith, Daniel Tataru, International Mathematics Research Notices, Volume 2014, issue 23, pages 6341-6398.

1. A-priori bounds for KdV equation below H^{-3/4}.
    Journal of Functional Analysis 268 (3), 501-554

Teaching

Teaching Real Analysis on Tuesday and Friday in Fall 2021.

Seminar

The Analysis/PDE seminar meets on Thursday.

Family

My wife Tracy Xiao Liu is an Associate Professor at the Department of Economics, School of Economics and Management,Tsinghua University. She works on experimental economics, behavioral economics, game theory and information economics.