Boundary Integral Equations for the Helmholtz Equation: The Third Boundary Value Problem.
Interim technical rept.,
DELAWARE UNIV NEWARK APPLIED MATHEMATICS INST
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The third boundary value problem, or Robin problem, for the Helmholtz equation in an exterior domain in R3 may be cast with Greens theorem, as a boundary integral equation. This equation is not equivalent to the original problem because it has eigenvalues at wave numbers for which the exterior problem is soluble. However, a second boundary equation is derived and it is shown that the pair is equivalent to the original boundary value problem.
- Theoretical Mathematics