Solution of the Ill-Posed Cauchy Problem for Systems of Elliptic Type of the First Order-Reference-Cited by-同舟云学术

Solution of the Ill-Posed Cauchy Problem for Systems of Elliptic Type of the First Order

Published:2022-06-26 Issue:7 Volume:6 Page:358
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Juraev Davron Aslonqulovich^ORCID,Shokri Ali^ORCID,Marian Daniela^ORCID

Abstract

We study, in this paper, the Cauchy problem for matrix factorizations of the Helmholtz equation in the space Rm. Based on the constructed Carleman matrix, we find an explicit form of the approximate solution of this problem and prove the stability of the solutions.

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/6/7/358/pdf

Reference41 articles.

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3. The Cauchy Problem for Linear Partial Differential Equations of Hyperbolic Type;Hadamard,1978

4. Les Fonctions Quasi Analytiques;Carleman,1926

5. The generalized Carleman formula and its application to the analytic continuation of functions;Goluzin;Sb. Math.,1933

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