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arXiv · 0807.2280

Smoothing estimates for the Schrodinger equation with unbounded potentials

Piero D'Ancona·Luca Fanelli
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Abstract

We prove a local in time smoothing estimate for a magnetic Schrodinger equation with coefficients growing polynomially at spatial infinity. The assumptions on the magnetic field are gauge invariant and involve only the first two derivatives. The proof is based on the multiplier method and no pseudofferential techniques are required.

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Piero D'Ancona, Luca Fanelli. 2008-07-14. Smoothing estimates for the Schrodinger equation with unbounded potentials. https://arxiv.org/abs/0807.2280

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