质量等于孤子质量的聚焦五元 NLS 吹胀解的测定

IF 1.8 1区数学 Q1 MATHEMATICS

Analysis & PDE Pub Date : 2024-06-20 DOI:10.2140/apde.2024.17.1693

Benjamin Dodson

引用次数: 0

摘要

我们证明，质量等于孤子质量的聚焦五元非线性薛定谔方程的唯一炸裂解是重比例孤子或这些孤子的伪共形变换。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

We prove 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.

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来源期刊

Analysis & PDE MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.80

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： APDE aims to be the leading specialized scholarly publication in mathematical analysis. The full editorial board votes on all articles, accounting for the journal’s exceptionally high standard and ensuring its broad profile.