基于空间平均原理的惯性流形平滑

IF 2.3 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-09-25 DOI:10.1016/j.jde.2025.113790

Ziqi Niu , Xinhua Li , Chunyou Sun

引用次数: 0

摘要

研究了一类抽象半线性抛物方程惯性流形的Cn，ε|{n≥2,ε∈(0,1)}-光滑性。与已知结果相比，采用J. Mallet-Paret和G. Sell于1988年提出的空间平均原理放宽了所需的谱隙条件。

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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Smoothness of the inertial manifold via the spatial averaging principle

This paper investigates the

C^{n, ε} |_{{n \geq 2, ε \in (0, 1)}}

-smoothness of the inertial manifold for an abstract semilinear parabolic equation. Compared with the known results, the required spectral gap condition has been relaxed by applying the principle of spatial averaging initially proposed by J. Mallet-Paret and G. Sell in 1988.

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics