On the continuation of the solutions of a generalized Cauchy-Riemann system in space

DOI10.1134/S0001434609050149zbMath1176.35043MaRDI QIDQ1033988

E. N. Sattorov

Publication date: 10 November 2009

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

zbMATH Keywords

Cauchy problemLaplace equationHelmholtz equationanalytic continuationCarleman matrixCauchy's integral formulaCarleman functionCauchy-Riemann system

Mathematics Subject Classification ID

Continuation and prolongation of solutions to PDEs (35B60)

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 ⋮ Carleman's formula for solutions of generalized Cauchy-Riemann systems in multidimensional spatial domains ⋮ 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

Cites Work

• Continuing solutions to the Helmholtz equation
• Integral theorems in three-dimensional potential flow
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