{"title":"Almost Global Existence for d-dimensional Beam Equation with Derivative Nonlinear Perturbation","authors":"","doi":"10.1007/s12346-023-00906-9","DOIUrl":null,"url":null,"abstract":"<h3>Abstract</h3> <p>This paper is devoted to the proof of almost global existence results for the <em>d</em>-dimensional beam equation with derivative nonlinear perturbation by using Birkhoff normal form technique and the so-called <strong>tame</strong> property in a Gevrey space. </p>","PeriodicalId":48886,"journal":{"name":"Qualitative Theory of Dynamical Systems","volume":"3 1","pages":""},"PeriodicalIF":1.9000,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Qualitative Theory of Dynamical Systems","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s12346-023-00906-9","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
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.
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.