Refinement of the $L^{2}

Refinement of the $L^{2}$
Refinement of the $L^{2}$-decay estimate of solutions to nonlinear Schrödinger equations with attractive-dissipative nonlinearity

This paper is concerned with the $L^{2}$-decay estimate of solutions to nonlinear dissipative Schrödinger equations with power-type nonlinearity of the order $p$. It is known that the sign of the real part of the dissipation coefficient affects the long-time behavior of solutions, when neither size …