Geodesic
The Essential Spectrum of Boundary Value Problems for Systems of Differential Equations in a Bounded Domain with a~Cusp
Funkcionalʹnyj analiz i ego priloženiâ, Tome 43 (2009) no. 1, pp. 55-67

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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, self-adjoint system of differential equations with the polynomial property; essential, continuous, and discrete spectra.
Mots-clés : cusp 
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     title = {The {Essential} {Spectrum} of {Boundary} {Value} {Problems} for {Systems} of {Differential} {Equations} in a {Bounded} {Domain} with {a~Cusp}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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S. A. Nazarov. The Essential Spectrum of Boundary Value Problems for Systems of Differential Equations in a Bounded Domain with a~Cusp. Funkcionalʹnyj analiz i ego priloženiâ, Tome 43 (2009) no. 1, pp. 55-67. http://geodesic.mathdoc.fr/item/FAA_2009_43_1_a3/