Geodesic
Spectral properties of degenerate elliptic operators with matrix coefficients
Ufa mathematical journal, Tome 5 (2013) no. 4, pp. 37-48

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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 $A$.
Keywords: elliptic differential operators, resolvent of operator, distribution of eigenvalues, system of root vector-functions. 
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     author = {M. G. Gadoev and S. A. Iskhokov},
     title = {Spectral properties of degenerate elliptic operators  with matrix coefficients},
     journal = {Ufa mathematical journal},
     pages = {37--48},
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     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UFA_2013_5_4_a3/}
}
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M. G. Gadoev; S. A. Iskhokov. Spectral properties of degenerate elliptic operators  with matrix coefficients. Ufa mathematical journal, Tome 5 (2013) no. 4, pp. 37-48. http://geodesic.mathdoc.fr/item/UFA_2013_5_4_a3/