Strichartz and Smoothing Estimates for Schroedinger Operators with Large Magnetic Potentials in R^3

Abstract

We show that the time evolution of the operator $H=-\Delta +i(A\cdot \nabla +\nabla \cdot A)+V$ in R^3 satisfies Strichartz and smoothing estimates under suitable smoothness and decay assumptions on A and V but without any smallness assumptions. We require that zero energy is neither an eigenvalue nor a resonance.

27 pages. Revised to add a reference to previously known results

References in corpus (1)

• Dispersive estimates for Schrodinger operators in dimensions one and three