Solution of the Ill-Posed Cauchy Problem for Systems of Elliptic Type of the First Order
Davron Aslonqulovich JuraevChair of Natural Science Disciplines, Higher Military Aviation School of the Republic of Uzbekistan, Karshi 180100, UzbekistanAli 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
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.
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Cited by 60 references