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

Erdogan, M. Burak; Goldberg, Michael; Schlag, Wilhelm

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

Authors

Erdogan, M. Burak

Goldberg, Michael

Schlag, Wilhelm

Description

We show that the time evolution of the operator $H = -Δ+ i(A \cdot \nabla + \nabla \cdot A) + V$ 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