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

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

引用次数: 1

Abstract

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

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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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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