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

Juraev Davron; Marcelo Moreira Cavalcanti

doi:10.5269/bspm.62831

Juraev Davron Higher Military Aviation School of the Republic of Uzbekistan https://orcid.org/0000-0003-1224-6764
Marcelo Moreira Cavalcanti State University of Maringá

Resumo

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 on the Carleman matrix method.

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Biografia do Autor

Marcelo Moreira Cavalcanti, State University of Maringá

Department of Mathematics

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