Abstract
We justify supercritical geometric optics in small time for the defocusing semiclassical Nonlinear Schrödinger Equation for a large class of non-necessarily homogeneous nonlinearities. The case of a half-space with Neumann boundary condition is also studied.
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Communicated by I. M. Sigal
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Chiron, D., Rousset, F. Geometric Optics and Boundary Layers for Nonlinear-Schrödinger Equations. Commun. Math. Phys. 288, 503–546 (2009). https://doi.org/10.1007/s00220-009-0748-x
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DOI: https://doi.org/10.1007/s00220-009-0748-x