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Type: Artigo de periódico
Title: A Schrodinger equation with time-oscillating nonlinearity
Author: Cazenave, T
Scialom, M
Abstract: In this paper, we consider the nonlinear Schrodinger equation iu(t) + Delta u +theta(omega t) vertical bar u vertical bar(alpha)u = 0 in R(N) where alpha is an H(1)-subcritical exponent and theta is a periodic function. We show that, for a given initial condition u(t(0)) = phi epsilon H(1)(R(N)), the solution u converges as |omega| -> infinity to the solution of the limiting equation iU(t) + Delta U + I (theta)| U|alpha(U) = 0 with the same initial condition, where I (theta) is the average of theta. We also show that if the limiting solution U is global and has a certain decay property as t ->infinity, then u is also global if |omega| is sufficiently large.
Subject: Nonlinear Schrodinger equation
Finite-time blowup
Global existence
Country: EUA
Editor: Springer
Rights: fechado
Identifier DOI: 10.1007/s13163-009-0018-7
Date Issue: 2010
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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