WKB analysis of nonelliptic nonlinear Schrödinger equations
نویسندگان
چکیده
منابع مشابه
Ja n 20 06 WKB ANALYSIS FOR NONLINEAR SCHRÖDINGER EQUATIONS WITH POTENTIAL RÉMI
We justify the WKB analysis for the semiclassical nonlinear Schrödinger equation with a subquadratic potential. This concerns subcritical, critical, and supercritical cases as far as the geometrical optics method is concerned. In the supercritical case, this extends a previous result by E. Grenier; we also have to restrict to nonlinearities which are defocusing and cubic at the origin, but besi...
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We justify the WKB analysis for the semiclassical nonlinear Schrödinger equation with a subquadratic potential. This concerns subcritical, critical, and supercritical cases as far as the geometrical optics method is concerned. In the supercritical case, this extends a previous result by E. Grenier; we also have to restrict to nonlinearities which are defocusing and cubic at the origin, but besi...
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ژورنال
عنوان ژورنال: Communications in Contemporary Mathematics
سال: 2019
ISSN: 0219-1997,1793-6683
DOI: 10.1142/s0219199719500457