Annales Academię Scientiarum Fennicę
Mathematica
Volumen 38, 2013, 413-431
University of Helsinki, Department of Mathematics and Statistics
P.O. Box 68, FI-00014 Helsinki, Finland; jussi.martin 'at' helsinki.fi
Abstract. We study the spectral problem of the linearised theory of water-waves, in a bounded domain with cuspidal edge. We show that the continuous spectrum of the problem is the set of non-negative real numbers, if the sharpness exponent is large.
2010 Mathematics Subject Classification: Primary 35J20; Secondary 35P99, 76B15.
Key words: Linearised water-wave problem, continuous spectrum, cuspidal domain.
Reference to this article: J. Martin: On continuous spectrum of the linearised water-wave problem in bounded domains. Ann. Acad. Sci. Fenn. Math. 38 (2013), 413-431.
doi:10.5186/aasfm.2013.3839
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