Strong and Weak-Type Dispersive Estimates for the Energy-Critical Nonlinear Schrödinger Equation with an Inverse-Square Potential

Tiesong Jiang, Kexue Li

We prove dispersive estimates for the three-dimensional defocusing energy-critical nonlinear Schrödinger equation associated with ${\mathcal{L}}_a=-\Delta +a|x{|}^{-2}$. For nonnegative poten…