Smoothing estimates for the Schrödinger equation with unbounded potentials |
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Authors: | Piero D'Ancona Luca Fanelli |
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Institution: | Sapienza, Università di Roma, Dipartimento di Matematica, Piazzale A. Moro 2, I-00185 Roma, Italy |
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Abstract: | We prove a local in time smoothing estimate for a magnetic Schrödinger 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 pseudodifferential techniques are required. |
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Keywords: | 35L70 58J45 |
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