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paper

Geometric optics and boundary layers for Nonlinear Schrodinger equations

arXiv:0804.1275 · doi:10.1007/s00220-009-0748-x

Abstract

We justify supercritical geometric optics in small time for the defocusing semiclassical Nonlinear Schrodinger Equation for a large class of non-necessarily homogeneous nonlinearities. The case of a half-space with Neumann boundary condition is also studied.

44 pages