Asymptotic expansion of solutions of an elliptic equation related to the nonlinear Schrödinger equation (Q1425231)

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scientific article; zbMATH DE number 2057862
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Asymptotic expansion of solutions of an elliptic equation related to the nonlinear Schrödinger equation
scientific article; zbMATH DE number 2057862

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    Asymptotic expansion of solutions of an elliptic equation related to the nonlinear Schrödinger equation (English)
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    15 March 2004
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    The authors consider the radially symmetric blow-up solutions of nonlinear Schrödinger equation. They study their asymptotic behavior near the blow-up time such that they refine the information given in \textit{R. Johnson} and \textit{X. Pan} [Proc. R. Soc. Edinb. 123, 763--782 (1993; Zbl 0788.35041)], \textit{O. Kavian} and \textit{F.B. Weissler} [Mich. Math. J. 41, 151--173 (1994; Zbl 0809.35125)], \textit{N. Kopell} and \textit{M. Landman} [SIAM J. Appl. Math. 55, 1297--1323 (1995; Zbl 0836.34041)].
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    nonlinear Schrödinger equation
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    blow-up solution
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    asymptotic series representation
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