ON THE CAUCHY PROBLEM FOR SYSTEMS OF LINEAR EQUATIONS OF ELLIPTIC TYPE OF THE FIRST ORDER IN THE SPACE ℝm

ON THE CAUCHY PROBLEM FOR SYSTEMS OF LINEAR EQUATIONS OF ELLIPTIC TYPE OF THE FIRST ORDER IN THE SPACE ℝm

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

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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.