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 Explicit representation of the green's function for the three-dimensional exterior Helmholtz equation
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/4447

title: Explicit representation of the green's function for the three-dimensional exterior Helmholtz equation
authors: J. P. Cruz
E. L. Lakshtanov
keywords: explicit solution
Helmholtz exterior problem
Green’s function
Dirichlet-to-Neumann operator
issue date: 2008
publisher: Springer Verlag
abstract: We construct a sequence of solutions of the exterior Helmholtz equation such that their restrictions form an orthonormal basis on a given surface. The dependence of the coefficients of these functions on the coefficients of the surface are given by an explicit algebraic formula. In the same way, we construct an explicit normal derivative of the Dirichlet Green’s function. We also construct the Dirichlet-to-Neumann operator. We prove that the normalized coefficients are uniformly bounded from zero.
URI: http://hdl.handle.net/10773/4447
ISSN: 0040-5779
publisher version/DOI: http://www.springerlink.com/content/a116q1230227u8tp/
source: Theoretical and Mathematical Physics
appears in collectionsMAT - Artigos

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