Geodesic
On the Recovery of Solutions of a Generalized Cauchy--Riemann System in a Multidimensional Spatial Domain from Their Values on a Piece of the Boundary of This Domain
Matematičeskie zametki, Tome 110 (2021) no. 3, pp. 405-423

Voir la notice de l'article provenant de la source Math-Net.Ru

The paper deals with the problem of recovering solutions of a generalized Cauchy–Riemann system in a multidimensional spatial domain from their values on a piece of the boundary of this domain, i.e., an approximate solution of this problem based on the Carleman–Yarmukhamedov matrix method is constructed.
Keywords: generalized Cauchy–Riemann system, Cauchy problem, ill-posed problem, regularized solution, approximate solution
Mots-clés : Carleman matrix. 
@article{MZM_2021_110_3_a6,
     author = {\`E. N. Sattorov and F. E. Ermamatova},
     title = {On the {Recovery} of {Solutions} of a {Generalized} {Cauchy--Riemann} {System} in a {Multidimensional} {Spatial} {Domain} from {Their} {Values} on a {Piece} of the {Boundary} of {This} {Domain}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {405--423},
     publisher = {mathdoc},
     volume = {110},
     number = {3},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2021_110_3_a6/}
}
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È. N. Sattorov; F. E. Ermamatova. On the Recovery of Solutions of a Generalized Cauchy--Riemann System in a Multidimensional Spatial Domain from Their Values on a Piece of the Boundary of This Domain. Matematičeskie zametki, Tome 110 (2021) no. 3, pp. 405-423. http://geodesic.mathdoc.fr/item/MZM_2021_110_3_a6/