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СЕМИНАРЫ |
Seminar on Analysis, Differential Equations and Mathematical Physics
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Discrete spectrum of polynomially compact pseudodifferential operators and applications to the Neumann-Poincare operator in 3D elasticity G. V. Rozenblumabc a Chalmers University of Technology b University of Science and Technology "Sirius", Sochi c Euler International Mathematical Institute, St. Petersburg |
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Аннотация: We present a new method for finding eigenvalue asymptotics for polynomially compact, zero order, pseudodifferential operators. As an application we find asymptotics of the spectrum of the Neumann-Poincare (double layer potential) integral operator of the 3D linear elasticity. We find relations of the geometrical characteristics of surface and the spectrum of the NP operator. Язык доклада: английский Website: https://msrn.tilda.ws/sl |