13 citations · 30 across the 12 of their papers we have counts for
14 papers
Symmetric hyperbolic Schrödinger equations on tori
Baoping Liu, Xu Zheng
In this paper, we study the symmetric hyperbolic Schrödinger equations in the periodic setting. First, we prove full range Strichartz estimates on general tori by adapting Bourgain…
On sharp Strichartz estimate for hyperbolic Schrödinger equation on
Baoping Liu, Xu Zheng
We prove the sharp Strichartz estimate for hyperbolic Schrödinger equation on via an incidence geometry approach. As application, we obtain optimal local well-posed…
The large time asymptotics of nonlinear multichannel Schroedinger equations
Baoping Liu, Avy Soffer
We consider the Schroedinger equation with a general interaction term, which is localized in space. The interaction may be x, t dependent and non-linear. Purely non-linear parts of…
Wellposedness for the KdV hierarchy
Friedrich Klaus, Herbert Koch, Baoping Liu
We prove a version of wellposedness for all equations of the KdV hierarchy in . Ingredients are 1) The Miura map which allows to define the Gardner hierarchy through the ge…
A General Scattering theory for Nonlinear and Non-autonomous Schroedinger Type Equations- A Brief description
Baoping Liu, Avy Soffer
We give a short description of the proof of asymptotic-completeness for NLS-type equations, including time dependent potential terms, with radial data in three dimensions. We also…
On Threshold Solutions of equivariant Chern-Simons-Schrödinger Equation
Zexing Li, Baoping Liu
We consider the self-dual Chern-Simons-Schrödinger model in two spatial dimensions. This problem is -critical. Under equivariant setting, global wellposedness and scattering w…
Global center stable manifold for the defocusing energy critical wave equation with potential
Hao Jia, Baoping Liu, Wilhelm Schlag +1
In this paper we consider the defocusing energy critical wave equation with a trapping potential in dimension . We prove that the set of initial data for which solutions scatter…
Generic and non-generic behavior of solutions to the defocusing energy critical wave equation with potential in the radial case
Hao Jia, Baoping Liu, Wilhelm Schlag +1
In this paper, we continue our study [16] on the long time dynamics of radial solutions to defocusing energy critical wave equation with a trapping radial potential in 3 + 1 dimens…
Channels of energy for the linear radial wave equation
Carlos Kenig, Andrew Lawrie, Baoping Liu +1
Exterior channel of energy estimates for the radial wave equation were first considered in three dimensions by Duyckaerts, the first author, and Merle, and recently for the 5-dimen…
Stable soliton resolution for exterior wave maps in all equivariance classes
Carlos Kenig, Andrew Lawrie, Baoping Liu +1
In this paper we consider finite energy, \ell-equivariant wave maps from 1+3-dimensional Minkowski space exterior to the unit ball at the origin into the 3-sphere. We impose a Diri…
Long time dynamics of defocusing energy critical 3 + 1 dimensional wave equation with potential in the radial case
Hao Jia, Baoping Liu, Guixiang Xu
Using channel of energy inequalities developed by T.Duyckaerts, C.Kenig and F.Merle, we prove that, modulo a free radiation, any finite energy radial solution to the defocusing ene…
Global wellposedness of the equivariant Chern-Simons-Schrödinger equation
Baoping Liu, Paul Smith
In this article we consider the initial value problem for the m-equivariant Chern-Simons-Schrödinger model in two spatial dimensions with real-valued coupling parameter g. This is…
Local wellposedness of Chern-Simons-Schrödinger
Baoping Liu, Paul Smith, Daniel Tataru
In this article we consider the initial value problem for the Chern-Simons-Schrodinger model in two space dimensions. This is a covariant NLS type problem which is L^2 critical. Fo…
A-priori bounds for KdV equation below
Baoping Liu
We consider the Korteweg-de Vries Equation (KdV) on the real line, and prove that the smooth solutions satisfy a-priori local in time bound in terms of the size of the…