학술논문
ON THE CAUCHY PROBLEM FOR SYSTEMS OF LINEAR EQUATIONS OF ELLIPTIC TYPE OF THE FIRST ORDER IN THE SPACE [R.sup.m]
Document Type
Academic Journal
Author
Source
Journal of Applied and Engineering Mathematics. April, 2024, Vol. 14 Issue 2, p618, 15 p.
Subject
Language
English
ISSN
2146-1147
Abstract
In the present paper, on the basis of the Carleman matrix, approximate solutions of the Cauchy problem for matrix factorizations of the Helmholtz equation are found in explicit form. Keywords: Ill-Posed Cauchy Problems, regularized solution, approximate solution, matrix factorization, elliptical system. AMS Subject Classification: 35J46, 35J56.
1. INTRODUCTION One of the fundamental problems in the theory of (ordinary and partial) differential equations: To find a solution (an integral) of a differential equation satisfying what are known [...]
1. INTRODUCTION One of the fundamental problems in the theory of (ordinary and partial) differential equations: To find a solution (an integral) of a differential equation satisfying what are known [...]