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 #>3ร2 and in the exceptional case (i.e., when there is a half-bound state of zero energy) #>5ร2. I use this estimate to construct the scatterin
โฆ LIBER โฆ
On Lp estimates for the wave equation
โ Scribed by Tomas Schonbek
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 305 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0022-0396
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## Abstract We consider the Bergman projection on HenkinโLeiterer domains, bounded strictly pseudoconvex domains which have defining functions whose gradient is allowed to vanish. Our result describes the mapping properties of the Bergman projection between weighted __L^p^__ spaces, with the weight