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Title Solution of the Ill-Posed Cauchy Problem for Systems of Elliptic Type of the First Order
Type JournalPaper
Keywords Carleman matrix; stability of the Cauchy problem; regularized solution; approximate solution
Abstract We study, in this paper, the Cauchy problem for matrix factorizations of the Helmholtz equation in the space Rm. Based on the constructed Carleman matrix, we find an explicit form of the approximate solution of this problem and prove the stability of the solutions.
Researchers Daniela Marian (Third Researcher), Ali Shokri Shokri (Second Researcher), Davron Aslonqulovich JURAEV (First Researcher)