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On inverse scattering for the wave equation with a potential term via the Lax-Phillips theory: A simple proof

✍ Scribed by Gustavo Perla Menzala


Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
399 KB
Volume
30
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