Geodesic
On a class of elliptic pseudodifferential operators degenerate on a submani­fold
Sbornik. Mathematics, Tome 13 (1971) no. 2, pp. 155-185 Cet article a éte moissonné depuis la source Math-Net.Ru

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There are investigated elliptic pseudodifferential operators $p(x,D)$ which are degenerate on a submanifold $\Gamma$ of any codimension. Under certain further assumptions, for the operator which is obtained by adjoining to $p(x,D)$ boundary and coboundary conditions on the submanifold $\Gamma$, there are constructed left and right regularizers, and theorems on hypoellipticity and local solvability are proved. In case $p(x,D)$ is defined on a smooth compact manifold it is shown to be noetherian on special weighted spaces of Sobolev type. Bibliography: 24 titles. 
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V. V. Grushin. On a class of elliptic pseudodifferential operators degenerate on a submani­fold. Sbornik. Mathematics, Tome 13 (1971) no. 2, pp. 155-185. http://geodesic.mathdoc.fr/item/SM_1971_13_2_a0/

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