Geodesic
On invertibility of a class of degenerate differential operators in the Lebesgue space
Matematičeskie zametki SVFU, Tome 23 (2016) no. 3, pp. 3-26 Cet article a éte moissonné depuis la source Math-Net.Ru

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We construct the right-hand regularizing operator for a class of partial differential operators in non-divergent form in an arbitrary (bounded or unbounded) domain in the $n$-dimensional Euclidian space with non-power degeneracy on the boundary. On its base we prove the existence of the inverse operator in the Lebesgue space.
Keywords: partial differential operator, non-power degeneration, right-hand regularizing operator, inverse operator, partition of unity. 
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M. G. Gadoev; F. S. Iskhokov. On invertibility of a class of degenerate differential operators in the Lebesgue space. Matematičeskie zametki SVFU, Tome 23 (2016) no. 3, pp. 3-26. http://geodesic.mathdoc.fr/item/SVFU_2016_23_3_a0/

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