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Inverse Scattering Transform for the Multi-Component Nonlinear Schrödinger Equation with Nonzero Boundary Conditions

✍ Scribed by Barbara Prinari; Gino Biondini; A. David Trubatch

Book ID
111015091
Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
401 KB
Volume
126
Category
Article
ISSN
0022-2526

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✍ 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