Geodesic
An algebra of boundary value problems for a class of pseudodifferential operators of variable order
Izvestiya. Mathematics , Tome 38 (1992) no. 1, pp. 131-154.

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An algebra is constructed containing the operators of boundary value problems for pseudodifferential operators which are formally hypoelliptic in the sense of Hörmander and elliptic at points of the boundary; parametrices for these boundary value problems are also constructed. The Fredholm property is demonstrated in a scale of weighted spaces, based on $L_p$, $1$, and the index is computed. 
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     author = {S. Z. Levendorskii},
     title = {An algebra of boundary value problems for a class of pseudodifferential operators of variable order},
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S. Z. Levendorskii. An algebra of boundary value problems for a class of pseudodifferential operators of variable order. Izvestiya. Mathematics , Tome 38 (1992) no. 1, pp. 131-154. http://geodesic.mathdoc.fr/item/IM2_1992_38_1_a5/