On 1D mass subcritical nonlinear Schr\''odinger and Hartree equations in modulation spaces $M^{p,p^{\prime }}(p<2)$

Divyang G. Bhimani, Diksha Dhingra, Vijay Kumar Sohani

We establish well-posedness theory for the 1D mass-subcritical nonlinear Schrödinger equation (NLS) having power-type nonlinearity $|u{|}^{\alpha -1}u$ in a certain modulation spaces $M^{p…