THE CAUCHY PROBLEM FOR MATRIX FACTORIZATIONS OF THE HELMHOLTZ EQUATION IN R^3

Year 2018, Volume: 1 Issue: 3 - To memory of Prof. RNDr. Beloslav Rieˇcan, DrSc., 312 - 319, 24.10.2018

Davron Juraev (zhuraev)

Abstract

In the paper it is considered the regularization of the Cauchy problem for systems of elliptic type equations of the first order with constant coefficients factorisable Helmholtz operator in three-dimensional bounded domain.
Using the results of [1-6; 19,20,21,22], we construct in explicit form Carleman
matrix and, based on the regularized solution of the Cauchy problem.

Keywords

The Cauchy problem, Regularization, Factorization, Regular solution

References

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