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Inverse scattering problem for the two-dimensional Schrödinger operator, the(ar partial)-method and nonlinear equations

✍ Scribed by P. G. Grinevich; S. V. Manakov

Publisher
Springer US
Year
1986
Tongue
English
Weight
717 KB
Volume
20
Category
Article
ISSN
0016-2663

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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