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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive
Izv. Vyssh. Uchebn. Zaved. Mat., 2010 Number 5, Pages 32–40 (Mi ivm6734)
The Cauchy problem for a generalized spatial Cauchy–Riemann system

E. N. Sattorov

Chair of Mathematical Physics and Theory of Functions, Samarkand State University, Samarkand, Republic of Uzbekistan

Abstract: We consider the problem on the analytic continuation of a solution to a generalized Cauchy–Riemann system from its values on a part of the domain boundary.

Keywords: homogeneous Cauchy–Riemann system, ill-posed problems, regular solution, Carleman matrix.

UDC: 517.946

Received: 14.04.2008


 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2010, 54:5, 27–34

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© Steklov Math. Inst. of RAS, 2024