Geodesic
On continuation of solutions of generalized Cauchy--Riemann system in an unbounded subdomain of multidimensional space
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2021), pp. 27-43

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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.
Keywords: generalized Cauchy–Riemann system, ill-posed problems, regularized solution, approximate solution
Mots-clés : Carleman-Yarmuhamedov matrix. 
@article{IVM_2021_2_a2,
     author = {E. N. Sattorov and F. E. Ermamatova},
     title = {On continuation of solutions of generalized {Cauchy--Riemann} system in an unbounded subdomain of multidimensional space},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {27--43},
     publisher = {mathdoc},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2021_2_a2/}
}
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E. N. Sattorov; F. E. Ermamatova. On continuation of solutions of generalized Cauchy--Riemann system in an unbounded subdomain of multidimensional space. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2021), pp. 27-43. http://geodesic.mathdoc.fr/item/IVM_2021_2_a2/