Geometric optics and boundary layers for Nonlinear Schrodinger equations

Mathematics – Analysis of PDEs

Scientific paper

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44 pages

Scientific paper

10.1007/s00220-009-0748-x

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.

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