Summary
Two types of integral representations for the solutions of the (n-dimensional) Helmholtz equation in certain classes of unbounded domains have been presented and proved in [B0] (see also [B] for some generalization of these results to other equations). We shall describe here these representations, and give an extension of the second one to a more general class of domains. The main results can be summarized as follows.
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References
J. Bros in Séminaire E.D.P., Ecole Polytechnique 1985–86, Exposé n° 22.
J.Bros and R.Omnes: “Holomorphic integral representations for outgoing-waves in Saclay preprint, june 87, to be published in J.Math.pures et appl.
P.M. Morse and H. Feshbach: “Methods of Theoretical Physics”, Mc Graw Hill (1953).
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© 1989 Springer-Verlag Berlin Heidelberg
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Bros, J. (1989). Holomorphic Integral Representations for the Solutions of the Helmholtz Equation. In: Combes, JM., Grossmann, A., Tchamitchian, P. (eds) Wavelets. Inverse Problems and Theoretical Imaging. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-97177-8_16
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DOI: https://doi.org/10.1007/978-3-642-97177-8_16
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