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The Lp−Lp′ estimate for the Schrödinger equation on the half-line

✍ Scribed by Ricardo Weder

Book ID
108345243
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
109 KB
Volume
281
Category
Article
ISSN
0022-247X

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📜 SIMILAR VOLUMES

Lp−Lp Estimates for the Schrödinger Equa
Lp−Lp Estimates for the Schrödinger Equation on the Line and Inverse Scattering for the Nonlinear Schrödinger Equation with a Potential
✍ 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