Maykel B. Belluzi, Flank D. M. Bezerra, Marcelo J. D. Nascimento
{"title":"On coupled semilinear evolution systems: Techniques on fractional powers of \n \n \n 4\n ×\n 4\n \n $4\\times 4$\n matrices and applications","authors":"Maykel B. Belluzi, Flank D. M. Bezerra, Marcelo J. D. Nascimento","doi":"10.1002/mana.202300318","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we provide several techniques to explicitly calculate fractional powers of <span></span><math>\n <semantics>\n <mrow>\n <mn>2</mn>\n <mo>×</mo>\n <mn>2</mn>\n </mrow>\n <annotation>$2\\times 2$</annotation>\n </semantics></math> operator matrices \n </p>","PeriodicalId":49853,"journal":{"name":"Mathematische Nachrichten","volume":"297 9","pages":"3288-3312"},"PeriodicalIF":0.8000,"publicationDate":"2024-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematische Nachrichten","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/mana.202300318","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we provide several techniques to explicitly calculate fractional powers of operator matrices
期刊介绍:
Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index