Abstract
We establish the classification of minimal mass blow-up solutions of the \({L^{2}}\) critical inhomogeneous nonlinear Schrödinger equation
thereby extending the celebrated result of Merle (Duke Math J 69(2):427–454, 1993) from the classic case \({b=0}\) to the case \({0< b< {\rm min} \{2,N\} }\), in any dimension \({N \geqslant 1}\).
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This work is supported by the Labex CEMPI (ANR-11-LABX-0007-01). FG is grateful to the Labex team and in particular to its director, Prof. Stephan De Bièvre, for their warm hospitality at Université Lille 1, where the present research was initiated.
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Combet, V., Genoud, F. Classification of minimal mass blow-up solutions for an \({L^{2}}\) critical inhomogeneous NLS. J. Evol. Equ. 16, 483–500 (2016). https://doi.org/10.1007/s00028-015-0309-z
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DOI: https://doi.org/10.1007/s00028-015-0309-z