On continuation of solutions of generalized Cauchy--Riemann system in an unbounded subdomain of multidimensional space

E. N. Sattorov ; F. E. Ermamatova

Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2021), pp. 27-43.

Résumé

In this paper we consider the problem of reconstructing solutions to a generalized Cauchy-Riemann system in a many-dimensional spatial unbounded domain from their values on a part of the domain boundary, i.e., we construct an approximate solution to this problem with the help of the Carleman-Yarmuhamedov matrix method.

Détail

Keywords: generalized Cauchy–Riemann system, ill-posed problems, regularized solution, approximate solution
Mots-clés : Carleman-Yarmuhamedov matrix.

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