Long-time asymptotics of solutions and the modified pseudo-conformal conservation law for super-critical nonlinear Schrödinger equation

Vo Van Au, Tomas Caraballo, Nguyen Huy Tuan

In this paper, we discuss a class of nonlinear Schrödinger equations with the power-type nonlinearity: $(\mathrm{i}\frac{\partial }{\partial t}+\Delta )\psi =\lambda |\psi {|}^{2\eta }\psi$ in $\mathbf R^N…