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

DOI10.1134/S000143462109008XzbMath1480.30035OpenAlexW3210738490WikidataQ114075409 ScholiaQ114075409MaRDI QIDQ2666607

F. E. Ermamatova, E. N. Sattorov

Publication date: 23 November 2021

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000143462109008x

zbMATH Keywords

boundary value problemgeneralized Cauchy-Riemann system

Mathematics Subject Classification ID

Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20) Overdetermined systems of PDEs with variable coefficients (35N10) Boundary value problems for systems of linear first-order PDEs (35F45)

Cites Work

• Equations of Maxwell type
• Reconstruction of solutions to a generalized Moisil-Theodorescu system in a spatial domain from their values on a part of the boundary
• Superanalysis, I. Differential calculus
• On the continuation of the solutions of a generalized Cauchy-Riemann system in space
• Regularization of the solution of the Cauchy problem for the system of Maxwell equations in an unbounded domain
• Superanalysis. II: Integral calculus
• Continuing solutions to the Helmholtz equation
• Regularization of the solution of the Cauchy problem for the generalized Moisil-Theodoresco system
• The Cauchy problem for a system of equations in the theory of elasticity and thermoelasticity in space
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