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Low frequency dispersive estimates for the Schrodinger group in higher dimensions

2007/04/10 by Moulin, Simon, Vodev, Georgi
#35B40 #35L15 #47F05 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.0704.1200

Abstract

We prove dispersive estimates for the low frequency part of the Schrodinger group for a large class of potentials in dimensions greater or equal to four. As a consequence, we extend the result of Journe, Sofer and Sogge to a larger class of potentials. In this revised version a mistake in the proof of the estimate (B.4) is removed.

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