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The essential spectrum of boundary value problems for systems of differential equations in a bounded domain with a cusp
Authors:S. A. Nazarov
Affiliation:(1) Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St.-Petersburg, Russia
Abstract:Simple algebraic conditions are found for the existence of essential spectrum of the Neumann problem operator for a formally self-adjoint elliptic system of differential equations in a domain with a cuspidal singular point. The spectrum is discrete in the scalar case.
Keywords:peak  cusp  self-adjoint system of differential equations with the polynomial property  essential  continuous  and discrete spectra
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