Scattering for solutions of NLS in the exterior of a 2D star–shaped obstacle

Fabrice Planchon, Luis Vega

Type: Article

Publication Date: 2012-01-01

Citations: 4

DOI: https://doi.org/10.4310/mrl.2012.v19.n4.a12

Abstract

We prove that solutions to non-linear Schrödinger 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.

Locations

Mathematical Research Letters - View - PDF
arXiv (Cornell University) - View - PDF

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