25 citations · 70 across the 9 of their papers we have counts for
9 papers
Recent advances on Schrödinger equations with dissipative nonlinearities
Chunhua Li, Yoshinori Nishii, Yuji Sagawa +1
We give a survey on recent developments on nonlinear Schrödinger equations with dissipative structure based on the authors' recent works.
Upper and lower -decay bounds for a class of derivative nonlinear Schrödinger equations
Chunhua Li, Yoshinori Nishii, Yuji Sagawa +1
We consider the initial value problem for cubic derivative nonlinear Schrödinger equations possessing weakly dissipative structure in one space dimension. We show that the small da…
On the derivative nonlinear Schrödinger equation with weakly dissipative structure
Chunhua Li, Yoshinori Nishii, Yuji Sagawa +1
We consider the initial value problem for cubic derivative nonlinear Schrödinger equation in one space dimension. Under a suitable weakly dissipative condition on the nonlinearity,…
Large time asymptotics for a cubic nonlinear Schrödinger system in one space dimension, II
Chunhua Li, Yoshinori Nishii, Yuji Sagawa +1
This is a sequel to the paper "Large time asymptotics for a cubic nonlinear Schrödinger system in one space dimension" by the same authors. We continue to study the Cauchy problem…
Large time asymptotics for a cubic nonlinear Schrödinger system in one space dimension
Chunhua Li, Yoshinori Nishii, Yuji Sagawa +1
We consider a two-component system of cubic nonlinear Schrödinger equations in one space dimension. We show that each component of the solutions to this system behaves like a free…
On the scattering problem for the nonlinear Schrödinger equation with a potential in 2D
Vladimir Georgiev, Chunhua Li
We consider the scattering problem for the nonlinear Schrödinger equation with a potential in two space dimensions. Appropriate resolvent estimates are proved and applied to estima…
Remarks on derivative nonlinear Schrödinger systems with multiple masses
Chunhua Li, Hideaki Sunagawa
We prove global existence of small solutions to the initial value problem for a class of cubic derivative nonlinear Schrödinger systems with the masses satisfying suitable non-reso…
On Schrödinger systems with cubic dissipative nonlinearities of derivative type
Chunhua Li, Hideaki Sunagawa
Consider the initial value problem for systems of cubic derivative nonlinear Schrödinger equations in one space dimension with the masses satisfying a suitable resonance relation.…
A remark on decay rates of solutions for a system of quadratic nonlinear Schrödinger equations in 2D
Soichiro Katayama, Chunhua Li, Hideaki Sunagawa
We consider the initial value problem for a three-component system of quadratic nonlinear Schrödinger equations with mass resonance in two space dimensions. Under a suitable condit…