On a class of scattering equations |
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| Authors: | L J F Broer and M F H Schuurmans |
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| Institution: | (1) Department of Physics, Technical University, Eindhoven, The Netherlands;(2) Present address: Philips Research Laboratories, Eindhoven, The Netherlands |
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| Abstract: | In this paper a class of conservative wave equations treated by Broer and Peletier is considered when a single localised scatterer is present. A criterion for stability in the energy norm is derived. The formal solution of the scattering problem is given. The relation between the location of poles of the scattering matrix, the occurrence of standing wave solutions and the energy criterion is discussed. |
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