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Type: Artigo de periódico
Title: Solutions To The Nonlinear Schrödinger Equation Carrying Momentum Along A Curve
Author: Mahmoudi F.
Malchiodi A.
Montenegro M.
Abstract: We study the nonlinear Schrödinger equation - ε2 Δ ψ + V (x) ψ = | ψ |p - 1 ψ on a compact manifold or on Rn, where V is a positive potential and p > 1. As ε tends to zero, we prove existence of complex-valued solutions which concentrate along closed curves and whose phase is highly oscillatory, carrying quantum-mechanical momentum along the limit set. To cite this article: F. Mahmoudi et al., C. R. Acad. Sci. Paris, Ser. I 346 (2008). © 2007 Académie des sciences.
Rights: fechado
Identifier DOI: 10.1016/j.crma.2007.11.008
Date Issue: 2008
Appears in Collections:Unicamp - Artigos e Outros Documentos

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