On the Approximate Solution of the Cauchy Problem in a Multidimensional Unbounded Domain
Davron Aslonqulovich JuraevDepartment of Mathematics, Anand International College of Engineering, Jaipur 303012, IndiaAli ShokriDepartment of Mathematics, Faculty of Sciences, University of Maragheh, Maragheh 83111-55181, IranDaniela MarianDepartment of Mathematics, Technical University of Cluj-Napoca, 28 Memorandumului Street, 400114 Cluj-Napoca, Romania
2022en
ABI
Аннотация
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.
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