The Neumann problem for the Laplace equation in an exterior 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.
โฆ LIBER โฆ
Wave propagation in a 2-D external domain bounded by closed and open curves
โ Scribed by P.A. Krutitskii
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 429 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0362-546X
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## Abstract We study the uniqueness of solutions of Helmholtz equation for a problem that concerns wave propagation in waveguides. The classical radiation condition does not apply to our problem because the inhomogeneity of the index of refraction extends to infinity in one direction. Also, because