Analytic smoothing effect for the Schrödinger equation with long-range perturbation
✍ Scribed by Andre Martinez; Shu Nakamura; Vania Sordoni
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 184 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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
in the second case, s 2.2, H s 1.5 mm. We can use the r neural network independently of the optimization phase. Now that the optimization of the antenna has begun, the GA can be used with the neural network in the variation range. Parameters of the genetic algorithm: ⅷ Population: 20 chromosomes
In this paper we construct the scattering operator for the forced non-linear Schr odinger equation with a potential on the half-line. Moreover, in the case where the force is zero, and the solutions satisfy the homogeneous Dirichlet boundary condition at zero, we prove that the scattering operator d