The essential spectrum of boundary value problems for systems of differential equations in a bounded domain with a cusp |
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Authors: | S. A. Nazarov |
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Affiliation: | (1) Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St.-Petersburg, Russia |
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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. |
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Keywords: | peak cusp self-adjoint system of differential equations with the polynomial property essential continuous and discrete spectra |
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