11 citations · 39 across the 9 of their papers we have counts for
9 papers
On the decay estimate for small solutions to nonlinear Klein-Gordon equations with dissipative structure
Yoshinori Nishii
We consider the Cauchy problem for cubic nonlinear Klein-Gordon equations in one space dimension. We give the -decay estimate for the small data solution and show that it deca…
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…
Non-decay of the energy for a system of semilinear wave equations
Yoshinori Nishii
We consider the global Cauchy problem for a two-component system of cubic semilinear wave equations in two space dimensions. We give a criterion for large time non-decay of the ene…
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,…
Energy decay for small solutions to semilinear wave equations with weakly dissipative structure
Yoshinori Nishii, Hideaki Sunagawa, Hiroki Terashita
This article gives an energy decay result for small data solutions to a class of semilinear wave equations in two space dimensions possessing weakly dissipative structure relevant…
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 Agemi-type structural conditions for a system of semilinear wave equations
Yoshinori Nishii, Hideaki Sunagawa
We consider a two-component system of cubic semilinear wave equations in two space dimensions satisfying the Agemi-type structural condition (Ag) but violating (Ag) and (Ag…