2 citations · 3 across the 5 of their papers we have counts for
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On the growth of high Sobolev norms of the cubic nonlinear Schrödinger equation on
Mingming Deng, Kailong Yang
We consider the cubic nonlinear Schrödinger equation on product manifolds . In this paper, we obtain polynomial bounds on the growth in time of high So…
On scattering asymptotics for the 2D cubic resonant system
Kailong Yang, Zehua Zhao
In this paper, we prove scattering asymptotics for the 2D (discrete dimension) cubic resonant system. This scattering result was used in Zhao \cite{Z1} as an assumption to obtain t…
On multilinear distorted multiplier estimate and its applications
Kailong Yang
In this article, we investigate the multilinear distorted multiplier estimate (Coifman-Meyer type theorem) associated with the Schrödinger operator in the framework of th…
On scattering for the cubic defocusing nonlinear Schrödinger equation on waveguide
Xing Cheng, Zihua Guo, Kailong Yang +1
In this article, we will show the global wellposedness and scattering of the cubic defocusing nonlinear Schrödinger equation on waveguide in .…
Global well-posedness and scattering for mass-critical, defocusing, infinite dimensional vector-valued resonant nonlinear Schrödinger system
Kailong Yang, Lifeng Zhao
In this article, we consider the infinite dimensional vector-valued resonant nonlinear Schrödinger system, which arises from the study of the asymptotic behavior of the defocusing…