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Solution to the boundary value problem for an arbitrary elliptic operator subject to a radiation condition |
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| Authors: | A N Bogolubov M D Malykh Yu V Mukhartova |
| Institution: | (1) Faculty of Physics, Moscow State University, Leninskie gory, Moscow, 119992, Russia |
| Abstract: | It is shown that the generalized Fourier transform can be extended to an arbitrary elliptic operator in a cylindrical domain with a Robin boundary condition. In this case, the existence of the Fourier image is a completely correct radiation condition determining a solution to the problem that is a superposition of waves traveling away from the source. |
| Keywords: | boundary value problem for an arbitrary elliptic operator radiation condition generalized Fourier transform waves traveling outward from a source |
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