The transmission problem on a three-dimensional wedgePerfekt, K.-M. (2019) The transmission problem on a three-dimensional wedge. Archive for Rational Mechanics and Analysis, 231 (3). pp. 1745-1780. ISSN 0003-9527
It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1007/s00205-018-1308-3 Abstract/SummaryWe consider the transmission problem for the Laplace equation on an infinite three-dimensional wedge, determining the complex parameters for which the problem is well-posed, and characterizing the infinite multiplicity nature of the spectrum. This is carried out in two formulations leading to rather different spectral pictures. One formulation is in terms of square integrable boundary data, the other is in terms of finite energy solutions. We use the layer potential method, which requires the harmonic analysis of a non-commutative non-unimodular group associated with the wedge.
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