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OnLp−Lp′estimates for the wave-equation

✍ Scribed by Philip Brenner


Publisher
Springer-Verlag
Year
1975
Tongue
French
Weight
143 KB
Volume
145
Category
Article
ISSN
0025-5874

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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