A Sharp Condition for Scattering of the Radial 3D Cubic Nonlinear Schrödinger Equation
✍ Scribed by Justin Holmer; Svetlana Roudenko
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 442 KB
- Volume
- 282
- Category
- Article
- ISSN
- 0010-3616
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📜 SIMILAR VOLUMES
We present three results on the scattering of solutions for the almost cubic nonlinear Schrödinger equations. When initial datum has a small X p -norm, the solutions scatter in L 2 , when the initial datum is in H s with a small L 2 -norm with 0 ≤ s ≤ 1 then they scatter in H s . Finally, whenever w
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