Cauchy problem for matrix factorizations of the Helmholtz equation in the space R^m

In this paper, we consider the problem of recovering solutions for matrix factorizations of the Helmholtz equation in a three-dimensional bounded domain from their values on a part of the boundary of this domain, i.e., the Cauchy problem. An approximate solution to this problem is constructed based...

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Bibliographic Details
Main Authors: Juraev Aslonqulovich Davron, Marcelo Moreira Cavalcanti
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2022-12-01
Series:Boletim da Sociedade Paranaense de Matemática
Online Access:https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/62831