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The estimate of potential in stochastic Schrödinger's equation

✍ Scribed by N.M. Arató


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
273 KB
Volume
29
Category
Article
ISSN
0898-1221

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Lp−Lp Estimates for the Schrödinger Equa
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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