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

A determination of the blowup solutions to the focusing, quintic NLS with mass equal to the mass of the soliton
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确定质量等于孤子质量的聚焦五次 NLS 的爆炸解

DOI:
10.2140/apde.2024.17.1693
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发表时间:
2021
期刊:
Analysis & PDE
影响因子:
--
通讯作者:
B. Dodson
B. Dodson
中科院分区:
--
文献类型:
--
作者:
B. Dodson

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本文证明了质量等于孤子质量的聚焦五次非线性薛定谔方程的唯一爆破解是重标度孤子或这些孤子的伪保角变换。
In this paper we prove that the only blowup solutions to the focusing, quintic nonlinear Schrödinger equation with mass equal to the mass of the soliton are rescaled solitons or the pseudoconformal transformation of those solitons.