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Journals / Journal of Universal Mathematics / 2018 / To memory of Prof. RNDr. Beloslav Rieˇcan, DrSc.

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

Davron JURAEV (ZHURAEV)

Pages
312–319
DOI
—

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 Carlemanmatrix and, based on the regularized solution of the Cauchy problem.