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SELF-SIMILAR SOLUTIONS FOR NONLINEAR SCHRÖDINGER EQUATIONS

open access: yes, 2003
In this paper we study self-similar solutions for nonlinear Schrödinger equations using a scaling technique and the partly contractive mapping method. We establish the small global well-posedness of the Cauchy problem for nonlinear Schrödinger equations ...
Xiaoyi Zhang, Changxing Miao, Bo Zhang
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