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Geometric Optics and Boundary Layers for Nonlinear-Schrodinger Equations

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.
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https://hal.archives-ouvertes.fr/hal-00458106
Contributor : Marie-Annick Guillemer <>
Submitted on : Friday, February 19, 2010 - 11:53:10 AM
Last modification on : Monday, October 12, 2020 - 10:27:28 AM

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David Chiron, Frédéric Rousset. Geometric Optics and Boundary Layers for Nonlinear-Schrodinger Equations. Communications in Mathematical Physics, Springer Verlag, 2009, 288 (2), pp.503-546. ⟨10.1007/s00220-009-0748-x⟩. ⟨hal-00458106⟩

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