A determination of the blowup solutions to the focusing NLS with mass equal to the mass of the soliton

Benjamin Dodson

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arXiv · 2106.02723

A determination of the blowup solutions to the focusing NLS with mass equal to the mass of the soliton

Benjamin Dodson

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Abstract

In this paper we prove rigidity for blowup solutions to the focusing, mass-critical nonlinear Schr{\"o}dinger equation in dimensions $2 \leq d \leq 15$ 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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Benjamin Dodson. 2021-06-04. A determination of the blowup solutions to the focusing NLS with mass equal to the mass of the soliton. https://arxiv.org/abs/2106.02723

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