Reconstruction of solutions to a generalized Moisil-Theodorescu system in a spatial domain from their values on a part of the boundary

DOI10.3103/S1066369X11010075zbMath1231.35294MaRDI QIDQ646846

E. N. Sattorov

Publication date: 18 November 2011

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemapproximate solutionill-posed problemsCarleman matrixregularized solutiongeneralized Moisil-Theodorescu system

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Linear operators and ill-posed problems, regularization (47A52) Boundary value problems for systems of linear first-order PDEs (35F45)

Related Items (5)

CARLEMAN'S FORMULA OF A SOLUTIONS OF THE POISSON EQUATION IN BOUNDED DOMAIN ⋮ 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 ⋮ Cauchy problem for a generalized Cauchy-Riemann system in a multidimensional bounded spatial domain ⋮ On continuation of solutions of generalized Cauchy-Riemann system in an unbounded subdomain of multidimensional space ⋮ The distinguishing boundary for monogenic functions of Clifford analysis

Cites Work

• Continuation of a solution to a homogeneous system of Maxwell equations
• Superanalysis, I. Differential calculus
• Superanalysis. II: Integral calculus
• Dirac \(\gamma\)-equation, classical gauge fields and Clifford algebra
• Continuing solutions to the Helmholtz equation
• Regularization of the solution of the Cauchy problem for the generalized Moisil-Theodoresco system
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