Semiclassical limit of the nonlinear Schrödinger equation in small time. (English) Zbl 0910.35115

Summary: We study the semi-classical limit of the nonlinear Schrödinger equation for initial data with Sobolev regularity, before shocks appear in the limit system, and in particular the validity of the WKB method.


35Q55 NLS equations (nonlinear Schrödinger equations)
81Q20 Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory
35C20 Asymptotic expansions of solutions to PDEs
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