Scattering for solutions of NLS in the exterior of a 2d star--shaped obstacle
classification
🧮 math.AP
keywords
exteriornon-linearobstaclesolutionsboundeddefocusingdimensionsenergy
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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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