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Neumann problem for the Helmholtz equation in the exterior of nonclosed surfaces and the case of its explicit solution

โœ Scribed by P. A. Krutitskii


Book ID
118725274
Publisher
SP MAIK Nauka/Interperiodica
Year
2012
Tongue
English
Weight
220 KB
Volume
86
Category
Article
ISSN
1064-5624

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On the weak solution of the Neumann prob
โœ A. E. Merzon; F.-O. Speck; T. J. Villalba-Vega ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 312 KB ๐Ÿ‘ 1 views

We extend previous results for the Neumann boundary value problem to the case of boundary data from the space H -1 2 +e (C), 0<e< 1 2 , where C = \*X is the boundary of a two-dimensional cone X with angle b<p. We prove that for these boundary conditions the solution of the Helmholtz equation in X ex