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

M. Burak Erdogan·Michael Goldberg·Wilhelm Schlag
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Abstract

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.

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M. Burak Erdogan, Michael Goldberg, Wilhelm Schlag. 2006-08-31. Strichartz and Smoothing Estimates for Schroedinger Operators with Large Magnetic Potentials in R^3. https://arxiv.org/abs/math/0608699

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