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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1998-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171298000301 |
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| Summary: | 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 approach holds for both internal and external domains. |
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| ISSN: | 0161-1712 1687-0425 |