ON THE CAUCHY PROBLEM FOR MATRIX FACTORIZATIONS OF THE HELMHOLTZ EQUATION

Authors : Davron JURAEV

Pages : 113-126

Doi:10.33773/jum.543320

View : 15 | Download : 10

Publication Date : 2019-07-29

Article Type : Research Paper

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