具有衍生非线性扰动的 d 维梁方程的几乎全局存在性

IF 1.9 3区数学 Q1 MATHEMATICS Qualitative Theory of Dynamical Systems Pub Date : 2023-12-18 DOI:10.1007/s12346-023-00906-9

引用次数: 0

摘要

摘要本文致力于利用 Birkhoff 正形式技术和 Gevrey 空间中的所谓驯服特性，证明具有导数非线性扰动的 d 维梁方程的几乎全局存在性结果。

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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Almost Global Existence for d-dimensional Beam Equation with Derivative Nonlinear Perturbation

Abstract

This paper is devoted to the proof of almost global existence results for the d-dimensional beam equation with derivative nonlinear perturbation by using Birkhoff normal form technique and the so-called tame property in a Gevrey space.

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来源期刊

Qualitative Theory of Dynamical Systems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.50

自引率

14.30%

发文量

130

期刊介绍： Qualitative Theory of Dynamical Systems (QTDS) publishes high-quality peer-reviewed research articles on the theory and applications of discrete and continuous dynamical systems. The journal addresses mathematicians as well as engineers, physicists, and other scientists who use dynamical systems as valuable research tools. The journal is not interested in numerical results, except if these illustrate theoretical results previously proved.

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