Martin Bohner, C. Duque, Hugo Leiva, Zoraida Sívoli
{"title":"A lemma on\n C\n 0\n -semigroups on time scales and approximate controllability of the heat dynamic equation","authors":"Martin Bohner, C. Duque, Hugo Leiva, Zoraida Sívoli","doi":"10.2989/16073606.2024.2345845","DOIUrl":null,"url":null,"abstract":". In this paper, we present a lemma that allows us to characterize a broad class of C 0 -semigroups on time scales, which can be applied to prove existence and uniqueness of solutions of systems of partial differential equations where the time domain is a time scale. The result obtained is applied to study the controllability of the heat equation on time scales. The lemma presented in this paper can be seen as a unification of the one proved by H. Leiva in [28], for semigroups in [0 , ∞ ).","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2024-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quaestiones Mathematicae","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2989/16073606.2024.2345845","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
. In this paper, we present a lemma that allows us to characterize a broad class of C 0 -semigroups on time scales, which can be applied to prove existence and uniqueness of solutions of systems of partial differential equations where the time domain is a time scale. The result obtained is applied to study the controllability of the heat equation on time scales. The lemma presented in this paper can be seen as a unification of the one proved by H. Leiva in [28], for semigroups in [0 , ∞ ).
期刊介绍:
Quaestiones Mathematicae is devoted to research articles from a wide range of mathematical areas. Longer expository papers of exceptional quality are also considered. Published in English, the journal receives contributions from authors around the globe and serves as an important reference source for anyone interested in mathematics.