- Journal of Universal Mathematics
- Vol: 2 Issue: 2
- ON THE CAUCHY PROBLEM FOR MATRIX FACTORIZATIONS OF THE HELMHOLTZ EQUATION
ON THE CAUCHY PROBLEM FOR MATRIX FACTORIZATIONS OF THE HELMHOLTZ EQUATION
Authors : Davron Juraev
Pages : 113-126
Doi:10.33773/jum.543320
View : 8 | Download : 3
Publication Date : 2019-07-29
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 two-dimensional unbounded domain. Using the results of [20, 21, 22, 23, 24, 25 ], 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