- Journal of Universal Mathematics
- Vol: 1 Issue: 3 - To memory of Prof. RNDr. Beloslav RieËcan, DrSc. Special Issue
- THE CAUCHY PROBLEM FOR MATRIX FACTORIZATIONS OF THE HELMHOLTZ EQUATION IN R^3
THE CAUCHY PROBLEM FOR MATRIX FACTORIZATIONS OF THE HELMHOLTZ EQUATION IN R^3
Authors : Davron Juraev (zhuraev)
Pages : 312-319
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Publication Date : 2018-10-24
Article Type : Research
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