ON A REGULARIZED SOLUTION OF THE CAUCHY PROBLEM FOR MATRIX FACTORIZATIONS OF THE HELMHOLTZ EQUATION

D. A. Juraev; S. Noeiaghdam; P. Agarwal

ON A REGULARIZED SOLUTION OF THE CAUCHY PROBLEM FOR MATRIX FACTORIZATIONS OF THE HELMHOLTZ EQUATION

D. A. Juraev
, S. Noeiaghdam
, P. Agarwal

University of Economics and Pedagogy
International College of Engineering
Irkutsk National Research Technical University
South Ural State University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this paper, we consider the problem of recovering solutions for matrix factorizations of the Helmholtz equation in a multidimensional 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.

Original language	English
Pages (from-to)	1311-1326
Number of pages	16
Journal	Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
Volume	13
Issue number	4
State	Published - 2023
Externally published	Yes

Keywords

Ill-Posed Cauchy Problems
approximate solution
elliptical system
matrix factorization
regularized solution

Cite this

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title = "ON A REGULARIZED SOLUTION OF THE CAUCHY PROBLEM FOR MATRIX FACTORIZATIONS OF THE HELMHOLTZ EQUATION",

abstract = "In this paper, we consider the problem of recovering solutions for matrix factorizations of the Helmholtz equation in a multidimensional 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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author = "Juraev, \{D. A.\} and S. Noeiaghdam and P. Agarwal",

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language = "English",

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AU - Juraev, D. A.

AU - Noeiaghdam, S.

AU - Agarwal, P.

PY - 2023

Y1 - 2023

N2 - In this paper, we consider the problem of recovering solutions for matrix factorizations of the Helmholtz equation in a multidimensional 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.

AB - In this paper, we consider the problem of recovering solutions for matrix factorizations of the Helmholtz equation in a multidimensional 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.

KW - Ill-Posed Cauchy Problems

KW - approximate solution

KW - elliptical system

KW - matrix factorization

KW - regularized solution

UR - https://www.scopus.com/pages/publications/85173526912

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AN - SCOPUS:85173526912

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VL - 13

SP - 1311

EP - 1326

JO - Turkish World Mathematical Society Journal of Applied and Engineering Mathematics

JF - Turkish World Mathematical Society Journal of Applied and Engineering Mathematics

IS - 4

ER -

ON A REGULARIZED SOLUTION OF THE CAUCHY PROBLEM FOR MATRIX FACTORIZATIONS OF THE HELMHOLTZ EQUATION

Abstract

Keywords

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