Abstract
At angular points on the boundary of a domain, we obtain an asymptotic expansion for the eigenfunctions of spectral problems that describe natural oscillations of an ideal liquid that partially fills a cavity in a solid body. We describe cases where the eigenfunctions have singularities at angular points.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 6, pp. 803–811, June, 1998.
This work was partially supported by the Ukrainian State Committee on Science and Technology.
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Komarenko, O.N. Asymptotics of solutions of spectral problems of hydrodynamics in the neighborhood of angular points. Ukr Math J 50, 912–921 (1998). https://doi.org/10.1007/BF02515224
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DOI: https://doi.org/10.1007/BF02515224