Regińska, Teresa; Regiński, Kazimierz Approximate solution of a Cauchy problem for the Helmholtz equation. (English) Zbl 1099.35160 Inverse Probl. 22, No. 3, 975-989 (2006). Cited in 1 ReviewCited in 52 Documents MSC: 35R25 Ill-posed problems for PDEs 35J25 Boundary value problems for second-order elliptic equations 35Q60 PDEs in connection with optics and electromagnetic theory 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation 35A35 Theoretical approximation in context of PDEs 65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs 78A25 Electromagnetic theory (general) Keywords:Cauchy problem; Helmholtz equation; regularization; convergence; stability PDF BibTeX XML Cite \textit{T. Regińska} and \textit{K. Regiński}, Inverse Probl. 22, No. 3, 975--989 (2006; Zbl 1099.35160) Full Text: DOI Link OpenURL