4 papers
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…
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 Bourgai…
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-pose…
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…