Asymptotics of solutions to the Laplace–Beltrami equation on a rotation surface with a cusp |
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| Authors: | O. Kiselev I. Shestakov |
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| Affiliation: | aDepartment of Differential Equations, Institute of Mathematics with Computer Center, Ufa, Russia;bInstitut für Mathematik, Universität Potsdam, Potsdam, Germany |
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| Abstract: | In this work we study an asymptotic behaviour of solutions to the Laplace–Beltrami operator on a rotation surface near a cuspidal point. To this end we use the WKB-approximation. This approach describes the asymptotic behaviour of the solution more explicitly than abstract theory for operators with operator-valued coefficients. |
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| Keywords: | Manifolds with singularities Laplace– Beltrami operator |
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