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arXiv · 1111.0277

Scattering for solutions of NLS in the exterior of a 2d star--shaped obstacle

Fabrice Planchon·Luis Vega
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Abstract

We prove that solutions to non-linear Schr\"odinger equations in two dimensions and in the exterior of a bounded and smooth star-shaped obstacle scatter in the energy space. The non-linear potential is defocusing and grows at least as the quintic power.

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Fabrice Planchon, Luis Vega. 2011-11-01. Scattering for solutions of NLS in the exterior of a 2d star--shaped obstacle. https://arxiv.org/abs/1111.0277

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