A determination of the blowup solutions to the focusing NLS with mass equal to the mass of the soliton
Abstract
In this paper we prove rigidity for blowup solutions to the focusing, mass-critical nonlinear Schr\"odinger equation in dimensions 2 ≤ d ≤ 15 with mass equal to the mass of the soliton. We prove that the only such solutions are the solitons and the pseudoconformal transformation of the solitons.
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