$L_x^2（\mathbb R^2）中具有Yukawa型势的Dirac方程的小数据散射$

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-06-01 DOI:10.57262/die034-0708-425

Yonggeun Cho, Kiyoen Lee

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引用次数: 1

摘要

我们重新研究了具有Yukawa型势F [(b + |ξ|)]的二维非线性质量Dirac方程的Cauchy问题。[10,4]的作者分别获得了s > 0 H下的小数据散射和大数据全局适定性。在本文中，我们证明了lx (R)中出现了小数据散射。这可以通过结合双线性估计和调制估计[12,10]来实现。

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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Small data scattering of Dirac equations with Yukawa type potentials in $L_x^2(\mathbb R^2)$

We revisit the Cauchy problem of nonlinear massive Dirac equation with Yukawa type potentials F [ (b + |ξ|) ] in 2 dimensions. The authors of [10, 4] obtained small data scattering and large data global well-posedness in H for s > 0, respectively. In this paper we show that the small data scattering occurs in L x (R). This can be done by combining bilinear estimates and modulation estimates of [12, 10].

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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.