Linear water-wave problem in a pond with a shallow beach |
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| Authors: | Jussi Martin |
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| Institution: | Department of Mathematics and Statistics , University of Helsinki , P.O. Box 68, FI-00014 Helsinki , Finland |
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| Abstract: | We consider the linear water-wave problem in a bounded water-basin with a shallow beach. In spite of the boundedness of the domain, the spectrum of the problem may have a continuous component, if the beach of the basin has a cuspidal form. Following the approach and methods of an earlier paper by S.A.Nazarov and the second named author, we improve the results of the citation by determining the spectrum in an open borderline case under weaker geometric assumptions. |
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| Keywords: | linear water-wave problem Steklov condition continuous spectrum shallow beach |
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