Strichartz and Smoothing Estimates for Schrödinger Operators with Large Magnetic Potentials in R3
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چکیده
We show that the time evolution of the operator H = −∆ + i(A · ∇+∇ ·A) + V in R satisfies global 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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تاریخ انتشار 2006