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Type: Artigo de periódico
Title: Ill-posedness for the derivative Schrodinger and generalized Benjamin-Ono equations
Author: Biagioni, HA
Linares, F
Abstract: Ill-posedness is established for the initial value problem (IVP) associated to the derivative nonlinear Schrodinger equation for data in H-s (R), s < 1/2. This result implies that best result concerning local well-posedness for the IVP is in H-s ( R), s <greater than or equal to> 1/2. It is also shown that the (IVP) associated to the generalized Benjamin-Ono equation for data below the scaling is in fact ill-posed.
Subject: ill-posedness
Schrodinger equation
Benjamin-Ono equation
Country: EUA
Editor: Amer Mathematical Soc
Rights: aberto
Identifier DOI: 10.1090/S0002-9947-01-02754-4
Date Issue: 2001
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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