Continuing solutions to the Helmholtz equation

zbMath0969.35041MaRDI QIDQ1595714

R. Smith

Publication date: 13 February 2001

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

zbMATH Keywords

fundamental solutionCarleman formula

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Continuation and prolongation of solutions to PDEs (35B60) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

Related Items (12)

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 ⋮ Unnamed Item ⋮ Cauchy problem for matrix factorizations of the Helmholtz equation in the space R^m ⋮ The Cauchy problem for matrix factorization of the Helmholtz equation in a multidimensional unbounded domain ⋮ Reconstruction of solutions to a generalized Moisil-Theodorescu system in a spatial domain from their values on a part of the boundary ⋮ Unnamed Item ⋮ 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 ⋮ Recovery of solutions to homogeneous system of Maxwell's equations with prescribed values on a part of the boundary of domain ⋮ On the continuation of the solutions of a generalized Cauchy-Riemann system in space

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