Nonlinear singular perturbations of the fractional Schrödinger equation in dimension one
Nonlinear singular perturbations of the fractional Schrödinger equation in dimension one
The paper discusses nonlinear singular delta-type perturbations of the fractional Schrödinger equation , with , in dimension one. In particular, we investigate local and global well-posedness (in a strong sense), conservation laws and the existence of blow-up solutions and standing waves.