Modified Scattering of Cubic Nonlinear Schr\"odinger Equation on Rescaled Waveguide Manifolds
Abstract
We use modified scattering theory to demonstrate that small-data solutions to the cubic nonlinear Schr\"odinger equation on rescaled waveguide manifolds, R × Td for d≥ 2, demonstrate boundedness of Sobolev norms as well as weak instability.
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