Tie-Song Jiang

Strong and Weak-Type Dispersive Estimates for the Energy-Critical Nonlinear Schr\"odinger Equation with an Inverse-Square Potential

We prove dispersive estimates for the three-dimensional defocusing energy-critical nonlinear Schr\"odinger equation associated with $\mathcal L_a=-\Delta+a|x|^{-2}$. For nonnegative potentials, we extend the known finite-$p$ theory to the endpoint $L^1\to L^\infty$. For negative potentials in the global well-posedness...