{"title":"The Cauchy problem for matrix factorization of the Helmholtz equation in a multidimensional unbounded domain","authors":"Davron Aslonqulovich Juraev","doi":"10.5269/bspm.63779","DOIUrl":null,"url":null,"abstract":"In the present paper, a Carleman matrix is constructed and, on the basis of this matrix, an approximate solution of the Cauchy problem in a multidimensional unbounded domain is found in an explicit form.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.4000,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Boletim Sociedade Paranaense de Matematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5269/bspm.63779","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 2
Abstract
In the present paper, a Carleman matrix is constructed and, on the basis of this matrix, an approximate solution of the Cauchy problem in a multidimensional unbounded domain is found in an explicit form.