Global well-posedness and scattering for nonlinear Schrödinger equations with algebraic nonlinearity when $d = 2,3$ and $u_0$ is radial

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2019-01-01 DOI:10.4310/cjm.2019.v7.n3.a2

B. Dodson

引用次数: 6

Abstract

In this paper we discuss global well-posedness and scattering for some initial value problems that are ˙ H 1 subcritical. We prove global well-posedness and scattering for radial data in H s , s > s c , where the initial value problem is ˙ H s c -critical. We make use of the long time Strichartz estimates of [13] to do this.

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当$d = 2,3$和$u_0$为径向时，具有代数非线性的非线性Schrödinger方程的全局适定性和散射

本文讨论了一些˙H 1亚临界初值问题的全局适定性和散射性。我们证明了H s, s b> sc中径向数据的全局适定性和散射性，其中初值问题是˙H sc临界。我们利用bb0的长时间Strichartz估计来做到这一点。

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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