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

Mathematics – Analysis of PDEs

Scientific paper

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

Scientific paper

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.

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