Geodesic
Asymptotics of the spectrum of second-order nonselfadjoint degenerate elliptic differential operators on an interval
Sibirskij žurnal industrialʹnoj matematiki, Tome 9 (2006) no. 2, pp. 31-43

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Some properties are studied of a degenerate elliptic operator $P$ defined on the interval $(0,1)$; namely, the resolvent of $P$ is estimated. The completeness is investigated of the system of vector functions of $P$, and the summability is studied by the Abel method with parentheses of the Fourier series of elements in the corresponding Hilbert spaces with respect to systems of the root vector functions of $P$. An asymtotic formula is obtained for the distribution of the eigenvalues of $P$ that distinguishes the principal term of the asymptotics. 
@article{SJIM_2006_9_2_a3,
     author = {M. G. Gadoev},
     title = {Asymptotics of the spectrum of second-order nonselfadjoint degenerate elliptic differential operators on an interval},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {31--43},
     publisher = {mathdoc},
     volume = {9},
     number = {2},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2006_9_2_a3/}
}
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M. G. Gadoev. Asymptotics of the spectrum of second-order nonselfadjoint degenerate elliptic differential operators on an interval. Sibirskij žurnal industrialʹnoj matematiki, Tome 9 (2006) no. 2, pp. 31-43. http://geodesic.mathdoc.fr/item/SJIM_2006_9_2_a3/