On an Approximate Solution of the Cauchy Problem for Systems of Equations of Elliptic Type of the First Order

On an Approximate Solution of the Cauchy Problem for Systems of Equations of Elliptic Type of the First Order

In this paper, on the basis of the Carleman matrix, we explicitly construct a regularized solution of the Cauchy problem for the matrix factorization of Helmholtz’s equation in an unbounded two-dimensional domain. The focus of this paper is on regularization formulas for solutions to the Cauchy prob...

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Bibliographic Details
Main Authors: Davron Aslonqulovich Juraev, Ali Shokri, Daniela Marian
Format: Article
Language:English
Published: MDPI AG 2022-07-01
Series:Entropy
Subjects:
integral formula
regularization of the Cauchy problem
approximate solution
Carleman matrix
family of vector functions
Bessel and Hankel functions
Online Access:https://www.mdpi.com/1099-4300/24/7/968

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