Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/243865
Type: Artigo
Title: On well-posedness of The third-order nonlinear schrodinger equation with time-dependent coefficients
Author: Carvajal, Xavier
Panthee, Mahendra
Scialom, Marcia
Abstract: We consider the Cauchy problem associated to the third-order nonlinear Schrodinger equation with time-dependent coefficients. Depending on the nature of the coefficients, we prove local as well as global well-posedness results for given data in L-2-based Sobolev spaces. We also address the scaling limit to fast dispersion management and prove that it converges in H-1 to the solution of the averaged equation.
We consider the Cauchy problem associated to the third-order nonlinear Schrodinger equation with time-dependent coefficients. Depending on the nature of the coefficients, we prove local as well as global well-posedness results for given data in L-2-based Sobolev spaces. We also address the scaling limit to fast dispersion management and prove that it converges in H-1 to the solution of the averaged equation.
Subject: Schrödinger, Equação de
Problemas de valor inicial
Boa-colocação local
Country: Estados Unidos
Editor: World Scientific
Citation: On Well-posedness Of The Third-order Nonlinear Schrodinger Equation With Time-dependent Coefficients. World Scientific Publ Co Pte Ltd, v. 17, p. AUG-2015.
Rights: fechado
Identifier DOI: 10.1142/S021919971450031X
Address: http://www.worldscientific.com/doi/10.1142/S021919971450031X
Date Issue: 2015
Appears in Collections:IMECC - Artigos e Outros Documentos

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