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math.AP2024
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…
math.AP2023
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.
math.AP2019
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…