Research Info

Title	On the Approximate Solution of the Cauchy Problem in a Multidimensional Unbounded Domain
Type	JournalPaper
Keywords	integral formula; regularization of the Cauchy problem; approximate solution; Carleman matrix; family of vector functions; Bessel and Hankel functions
Abstract	In this paper, the Carleman matrix is constructed, and based on it we found explicitly a regularized solution of the Cauchy problem for the matrix factorization of the Helmholtz equation in a multidimensional unbounded domain in Rm,(m=2k,k≥2). The corresponding theorems on the stability of the solution of problems are proved.
Researchers	Ali Shokri Shokri (Second Researcher), Davron Aslonqulovich JURAEV (First Researcher), Daniela Marian (Third Researcher)