Dispersive estimates of solutions to the Schroedinger equation in dimensions n ≥ 4

摘要

We prove dispersive estimates for solutions to the Schrodinger equation with a real-valued potential V ∈ L~∞(R~n), n ≥ 4, satisfying V(x) = O(< x >~(-(n+2)/2-ε)), ε > 0.