Strichartz and Smoothing Estimates for Schroedinger Operators with Large Magnetic Potentials in R3
M. Burak Erdogan, Michael Goldberg, Wilhelm Schlag
Abstract
We show that the time evolution of the operator H = -Δ+ i(A · ∇ + ∇ · A) + V in R3 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.
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