Well-posedness and scattering for nonlinear Schrödinger equations on \(\mathbb{R}^d \times \mathbb{T}\) in the energy space. (English) Zbl 1365.35164
Authors’ abstract: We study the Cauchy problem and the large data \(H^1\) scattering for the energy subcritical NLS posed on \(\mathbb{R}^d \times \mathbb{T}\).
Reviewer: Alessandro Selvitella (Hamilton)
MSC:
| 35Q55 | NLS equations (nonlinear Schrödinger equations) |
| 58J37 | Perturbations of PDEs on manifolds; asymptotics |
| 35B30 | Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs |
| 35P25 | Scattering theory for PDEs |
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