Large-data $L^2$-decay for attractive-dissipative nonlinear Schrödinger equations without the strong dissipative condition

Naoyasu Kita, Hayato Miyazaki, Takuya Sato

We prove a large-data $L^2$-decay estimate for nonlinear dissipative Schrödinger equations with attractive-dissipative power nonlinearity. The main difficulty is the lack of sign…