整个空间上抛物线-椭圆形凯勒-西格尔系统的近周期解

IF 0.5 4区数学 Q3 MATHEMATICS

Archiv der Mathematik Pub Date : 2024-07-17 DOI:10.1007/s00013-024-02023-8

Nguyen Thi Loan, Pham Truong Xuan

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引用次数: 0

摘要

在本文中，我们研究了整个空间 \(\mathbb {R}^n\,\, (n ≥geqslant 4)\) 上抛物线-椭圆 Keller-Segel 系统几乎周期解的存在性和唯一性。我们在临界空间的框架下工作，比如在弱洛伦兹空间（L^{frac{n}{2},\infty }(\mathbb {R}^n)\）上。我们的方法基于热半群的分散和平滑估计以及定点论证。

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Almost periodic solutions of the parabolic-elliptic Keller–Segel system on the whole space

In this paper, we investigate the existence and uniqueness of almost periodic solutions for the parabolic-elliptic Keller–Segel system on the whole space \(\mathbb {R}^n\,\, (n \geqslant 4)\). We work in the framework of critical spaces such as on the weak-Lorentz space \(L^{\frac{n}{2},\infty }(\mathbb {R}^n)\). Our method is based on the dispersive and smoothing estimates of the heat semigroup and fixed point arguments.

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来源期刊

Archiv der Mathematik 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

117

审稿时长

4-8 weeks

期刊介绍： Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.