11 citations · 42 across the 7 of their papers we have counts for
7 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…
A sharp lower bound for the lifespan of small solutions to the Schrödinger equation with a subcritical power nonlinearity
Yuji Sagawa, Hideaki Sunagawa, Shunsuke Yasuda
Let be the lifespan for the solution to the Schrödinger equation on with a power nonlinearity (, ) and the initial data…
The lifespan of small solutions to cubic derivative nonlinear Schrödinger equations in one space dimension
Yuji Sagawa, Hideaki Sunagawa
Consider the initial value problem for cubic derivative nonlinear Schrödinger equations in one space dimension. We provide a detailed lower bound estimate for the lifespan of the s…