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

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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