The Neumann problem for the 2-D Helmholtz equation in a domain, bounded by closed and open curves

The Neumann problem for the dissipative Helmholtz equation in a connected plane region bounded by closed and open curves is studied. The existence of classical solution is proved by potential theory. The problem is reduced to the Fredholm equation of the second kind, which is uniquely solvable. Our...

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Bibliographic Details
Main Author: P. A. Krutitskii
Format: Article
Language:English
Published: Hindawi Limited 1998-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171298000301