Spectral properties of degenerate elliptic operators with matrix coefficients

M. G. Gadoev   ; S. A. Iskhokov

Ufa mathematical journal, Tome 5 (2013) no. 4, pp. 37-48

Résumé

In the work we study some spectral properties of the non-self-adjoint operator $A$ in the space $\mathcal{H}^{l}=L_{2}(0,1)^{l}$ associated with a noncoercive sesquilinear form. We address the issues on completeness of a system of root vector-functions for operator $A$ in $\mathcal{ H}^{l}$, description of the domain of operator $A$, estimating resolvent of operator $A$ and asymptotic distribution of eigenvalues of operator $A$.

Détail

Keywords: elliptic differential operators, resolvent of operator, distribution of eigenvalues, system of root vector-functions.

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