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arXiv:2207.07248 [math.AP]AbstractReferencesReviewsResources

Modified Scattering of Cubic Nonlinear Schrödinger Equation on Rescaled Waveguide Manifolds

Bobby Wilson, Xueying Yu

Published 2022-07-15Version 1

We use modified scattering theory to demonstrate that small-data solutions to the cubic nonlinear Schr\"odinger equation on rescaled waveguide manifolds, $\mathbb{R} \times \mathbb{T}^d$ for $d\geq 2$, demonstrate boundedness of Sobolev norms as well as weak instability.

Categories: math.AP
Subjects: 35Q55
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