Mathematical Research Letters
Volume 19 (2012)
Scattering for solutions of NLS in the exterior of a 2D star–shaped obstacle
Pages: 887 – 897
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.
2010 Mathematics Subject Classification