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 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 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