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Dispersive estimate for the 1D Schrödinger equation with a steplike potential

✍ Scribed by Piero DʼAncona; Sigmund Selberg


Book ID
113699103
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
300 KB
Volume
252
Category
Article
ISSN
0022-0396

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Lp−Lp Estimates for the Schrödinger Equa
✍ Ricardo Weder 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 286 KB

In this paper I prove a L p &L p estimate for the solutions to the one-dimensional Schro dinger equation with a potential in L 1 # where in the generic case #>3Â2 and in the exceptional case (i.e., when there is a half-bound state of zero energy) #>5Â2. I use this estimate to construct the scatterin