Geometric Optics and Boundary Layers for Nonlinear-Schrödinger Equations
نویسندگان
چکیده
منابع مشابه
Geometric optics and boundary layers for Nonlinear-Schrödinger Equations
where φ0 is real-valued. We are interested in the semiclassical limit ε → 0. The nonlinear Schrödinger equation (1) appears, for instance, in optics, and also as a model for Bose-Einstein condensates, with f(ρ) = ρ − 1, and the equation is termed Gross-Pitaevskii equation, or also with f(ρ) = ρ2 (see [13]). Some more complicated nonlinearities are also used especially in low dimensions, see [12...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2009
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-009-0748-x