{"title":"多维无界域上Helmholtz方程矩阵分解的Cauchy问题","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":"{\"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}","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}
The Cauchy problem for matrix factorization of the Helmholtz equation in a multidimensional unbounded domain
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.
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