SOME RELATIONS BETWEEN POTENTIAL THEORY AND THE WAVE EQUATION
MICHIGAN UNIV ANN ARBOR RADIATION LAB
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Solutions to the Dirichlet and Neumann problems for the region exterior to the intersection of two regions whose individual electrostatic Greens functions are known are developed. The method is applied specifically to obtain solutions for the exterior of a solid finite circular cone with a spherical cap. The solutions to the vector and scalar wave equations for long wavelengths can be expressed in terms of these Dirichlet and Neumann solutions.
- Theoretical Mathematics